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Finding the Fourth Proportional to 37,087.74, 55,631.10 and 9,008

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Solution

The fourth proportional to 37,087.74, 55,631.10 and 9,008 is: 13,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,087.74 : 55,631.10 = 9,008 : x
  2. Step 2: Convert to fraction form
    37,087.74/55,631.10 = 9,008/x
  3. Step 3: Cross multiply
    37,087.74x = 55,631.10 × 9,008
  4. Step 4: Simplify right side
    37,087.74x = 501,124,948.80
  5. Step 5: Solve for x
    x = 501,124,948.80/37,087.74
  6. Step 6: Final answer
    x = 13,511.88

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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.