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Finding the Fourth Proportional to 52,065, 71,854.02 and 29,713.32

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Solution

The fourth proportional to 52,065, 71,854.02 and 29,713.32 is: 41,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,065 : 71,854.02 = 29,713.32 : x
  2. Step 2: Convert to fraction form
    52,065/71,854.02 = 29,713.32/x
  3. Step 3: Cross multiply
    52,065x = 71,854.02 × 29,713.32
  4. Step 4: Simplify right side
    52,065x = 2,135,021,489.55
  5. Step 5: Solve for x
    x = 2,135,021,489.55/52,065
  6. Step 6: Final answer
    x = 41,006.85

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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.