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Finding the Fourth Proportional to 37,136.90, 55,706.16 and 9,057.15

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Solution

The fourth proportional to 37,136.90, 55,706.16 and 9,057.15 is: 13,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.90 : 55,706.16 = 9,057.15 : x
  2. Step 2: Convert to fraction form
    37,136.90/55,706.16 = 9,057.15/x
  3. Step 3: Cross multiply
    37,136.90x = 55,706.16 × 9,057.15
  4. Step 4: Simplify right side
    37,136.90x = 504,539,047.04
  5. Step 5: Solve for x
    x = 504,539,047.04/37,136.90
  6. Step 6: Final answer
    x = 13,585.92

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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.