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Finding the Fourth Proportional to 61,114.52, 91,697.92 and 25,584.14

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Solution

The fourth proportional to 61,114.52, 91,697.92 and 25,584.14 is: 38,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114.52 : 91,697.92 = 25,584.14 : x
  2. Step 2: Convert to fraction form
    61,114.52/91,697.92 = 25,584.14/x
  3. Step 3: Cross multiply
    61,114.52x = 91,697.92 × 25,584.14
  4. Step 4: Simplify right side
    61,114.52x = 2,346,011,900.54
  5. Step 5: Solve for x
    x = 2,346,011,900.54/61,114.52
  6. Step 6: Final answer
    x = 38,387.15

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Why These Related Problems?

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