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Finding the Fourth Proportional to 52,458.90, 78,711.59 and 27,493

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Solution

The fourth proportional to 52,458.90, 78,711.59 and 27,493 is: 41,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,458.90 : 78,711.59 = 27,493 : x
  2. Step 2: Convert to fraction form
    52,458.90/78,711.59 = 27,493/x
  3. Step 3: Cross multiply
    52,458.90x = 78,711.59 × 27,493
  4. Step 4: Simplify right side
    52,458.90x = 2,164,017,743.87
  5. Step 5: Solve for x
    x = 2,164,017,743.87/52,458.90
  6. Step 6: Final answer
    x = 41,251.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.