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Finding the Fourth Proportional to 37,187.74, 55,781.24 and 9,107.92

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Solution

The fourth proportional to 37,187.74, 55,781.24 and 9,107.92 is: 13,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,187.74 : 55,781.24 = 9,107.92 : x
  2. Step 2: Convert to fraction form
    37,187.74/55,781.24 = 9,107.92/x
  3. Step 3: Cross multiply
    37,187.74x = 55,781.24 × 9,107.92
  4. Step 4: Simplify right side
    37,187.74x = 508,051,071.42
  5. Step 5: Solve for x
    x = 508,051,071.42/37,187.74
  6. Step 6: Final answer
    x = 13,661.79

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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.