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Finding the Fourth Proportional to 37,113.38, 55,669.24 and 9,033.62

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Solution

The fourth proportional to 37,113.38, 55,669.24 and 9,033.62 is: 13,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,113.38 : 55,669.24 = 9,033.62 : x
  2. Step 2: Convert to fraction form
    37,113.38/55,669.24 = 9,033.62/x
  3. Step 3: Cross multiply
    37,113.38x = 55,669.24 × 9,033.62
  4. Step 4: Simplify right side
    37,113.38x = 502,894,759.85
  5. Step 5: Solve for x
    x = 502,894,759.85/37,113.38
  6. Step 6: Final answer
    x = 13,550.23

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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.