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Finding the Fourth Proportional to 70,973,190.20, 106,459,785.30 and 32,709,438.20

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Solution

The fourth proportional to 70,973,190.20, 106,459,785.30 and 32,709,438.20 is: 49,064,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,973,190.20 : 106,459,785.30 = 32,709,438.20 : x
  2. Step 2: Convert to fraction form
    70,973,190.20/106,459,785.30 = 32,709,438.20/x
  3. Step 3: Cross multiply
    70,973,190.20x = 106,459,785.30 × 32,709,438.20
  4. Step 4: Simplify right side
    70,973,190.20x = 3,482,239,768,055,618.50
  5. Step 5: Solve for x
    x = 3,482,239,768,055,618.50/70,973,190.20
  6. Step 6: Final answer
    x = 49,064,157.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.