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Finding the Fourth Proportional to 70,213.85, 105,322.14 and 32,763.74

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Solution

The fourth proportional to 70,213.85, 105,322.14 and 32,763.74 is: 49,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.85 : 105,322.14 = 32,763.74 : x
  2. Step 2: Convert to fraction form
    70,213.85/105,322.14 = 32,763.74/x
  3. Step 3: Cross multiply
    70,213.85x = 105,322.14 × 32,763.74
  4. Step 4: Simplify right side
    70,213.85x = 3,450,747,211.20
  5. Step 5: Solve for x
    x = 3,450,747,211.20/70,213.85
  6. Step 6: Final answer
    x = 49,146.25

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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.