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Finding the Fourth Proportional to 54,702.48, 75,487.28 and 30,834

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Solution

The fourth proportional to 54,702.48, 75,487.28 and 30,834 is: 42,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.48 : 75,487.28 = 30,834 : x
  2. Step 2: Convert to fraction form
    54,702.48/75,487.28 = 30,834/x
  3. Step 3: Cross multiply
    54,702.48x = 75,487.28 × 30,834
  4. Step 4: Simplify right side
    54,702.48x = 2,327,574,791.52
  5. Step 5: Solve for x
    x = 2,327,574,791.52/54,702.48
  6. Step 6: Final answer
    x = 42,549.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.