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Finding the Fourth Proportional to 52,411.16, 72,327.56 and 28,537.97

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Solution

The fourth proportional to 52,411.16, 72,327.56 and 28,537.97 is: 39,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411.16 : 72,327.56 = 28,537.97 : x
  2. Step 2: Convert to fraction form
    52,411.16/72,327.56 = 28,537.97/x
  3. Step 3: Cross multiply
    52,411.16x = 72,327.56 × 28,537.97
  4. Step 4: Simplify right side
    52,411.16x = 2,064,081,989.62
  5. Step 5: Solve for x
    x = 2,064,081,989.62/52,411.16
  6. Step 6: Final answer
    x = 39,382.49

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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.