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Finding the Fourth Proportional to 54,871.68, 75,723 and 29,721.12

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Solution

The fourth proportional to 54,871.68, 75,723 and 29,721.12 is: 41,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.68 : 75,723 = 29,721.12 : x
  2. Step 2: Convert to fraction form
    54,871.68/75,723 = 29,721.12/x
  3. Step 3: Cross multiply
    54,871.68x = 75,723 × 29,721.12
  4. Step 4: Simplify right side
    54,871.68x = 2,250,572,369.76
  5. Step 5: Solve for x
    x = 2,250,572,369.76/54,871.68
  6. Step 6: Final answer
    x = 41,015.19

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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.