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Finding the Fourth Proportional to 37,098.52, 55,647 and 9,018.72

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Solution

The fourth proportional to 37,098.52, 55,647 and 9,018.72 is: 13,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.52 : 55,647 = 9,018.72 : x
  2. Step 2: Convert to fraction form
    37,098.52/55,647 = 9,018.72/x
  3. Step 3: Cross multiply
    37,098.52x = 55,647 × 9,018.72
  4. Step 4: Simplify right side
    37,098.52x = 501,864,711.84
  5. Step 5: Solve for x
    x = 501,864,711.84/37,098.52
  6. Step 6: Final answer
    x = 13,527.89

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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.