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Finding the Fourth Proportional to 70,038.84, 105,077.70 and 29,530.20

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Solution

The fourth proportional to 70,038.84, 105,077.70 and 29,530.20 is: 44,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,038.84 : 105,077.70 = 29,530.20 : x
  2. Step 2: Convert to fraction form
    70,038.84/105,077.70 = 29,530.20/x
  3. Step 3: Cross multiply
    70,038.84x = 105,077.70 × 29,530.20
  4. Step 4: Simplify right side
    70,038.84x = 3,102,965,496.54
  5. Step 5: Solve for x
    x = 3,102,965,496.54/70,038.84
  6. Step 6: Final answer
    x = 44,303.50

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1.5x scale

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.