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Finding the Fourth Proportional to 52,528, 72,494.71 and 29,246.78

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Solution

The fourth proportional to 52,528, 72,494.71 and 29,246.78 is: 40,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528 : 72,494.71 = 29,246.78 : x
  2. Step 2: Convert to fraction form
    52,528/72,494.71 = 29,246.78/x
  3. Step 3: Cross multiply
    52,528x = 72,494.71 × 29,246.78
  4. Step 4: Simplify right side
    52,528x = 2,120,236,472.06
  5. Step 5: Solve for x
    x = 2,120,236,472.06/52,528
  6. Step 6: Final answer
    x = 40,363.93

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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.