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Finding the Fourth Proportional to 52,602, 72,581.13 and 29,939.66

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Solution

The fourth proportional to 52,602, 72,581.13 and 29,939.66 is: 41,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602 : 72,581.13 = 29,939.66 : x
  2. Step 2: Convert to fraction form
    52,602/72,581.13 = 29,939.66/x
  3. Step 3: Cross multiply
    52,602x = 72,581.13 × 29,939.66
  4. Step 4: Simplify right side
    52,602x = 2,173,053,991.71
  5. Step 5: Solve for x
    x = 2,173,053,991.71/52,602
  6. Step 6: Final answer
    x = 41,311.24

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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.