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Finding the Fourth Proportional to 52,304.52, 72,177.24 and 28,431

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Solution

The fourth proportional to 52,304.52, 72,177.24 and 28,431 is: 39,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304.52 : 72,177.24 = 28,431 : x
  2. Step 2: Convert to fraction form
    52,304.52/72,177.24 = 28,431/x
  3. Step 3: Cross multiply
    52,304.52x = 72,177.24 × 28,431
  4. Step 4: Simplify right side
    52,304.52x = 2,052,071,110.44
  5. Step 5: Solve for x
    x = 2,052,071,110.44/52,304.52
  6. Step 6: Final answer
    x = 39,233.15

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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.