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Finding the Fourth Proportional to 52,454, 72,387.24 and 30,098

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Solution

The fourth proportional to 52,454, 72,387.24 and 30,098 is: 41,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454 : 72,387.24 = 30,098 : x
  2. Step 2: Convert to fraction form
    52,454/72,387.24 = 30,098/x
  3. Step 3: Cross multiply
    52,454x = 72,387.24 × 30,098
  4. Step 4: Simplify right side
    52,454x = 2,178,711,149.52
  5. Step 5: Solve for x
    x = 2,178,711,149.52/52,454
  6. Step 6: Final answer
    x = 41,535.65

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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.