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Finding the Fourth Proportional to 42,745, 59,006.64 and 29,385.17

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Solution

The fourth proportional to 42,745, 59,006.64 and 29,385.17 is: 40,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,745 : 59,006.64 = 29,385.17 : x
  2. Step 2: Convert to fraction form
    42,745/59,006.64 = 29,385.17/x
  3. Step 3: Cross multiply
    42,745x = 59,006.64 × 29,385.17
  4. Step 4: Simplify right side
    42,745x = 1,733,920,147.53
  5. Step 5: Solve for x
    x = 1,733,920,147.53/42,745
  6. Step 6: Final answer
    x = 40,564.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.