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Finding the Fourth Proportional to 37,136.16, 55,703.52 and 9,434.16

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Solution

The fourth proportional to 37,136.16, 55,703.52 and 9,434.16 is: 14,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.16 : 55,703.52 = 9,434.16 : x
  2. Step 2: Convert to fraction form
    37,136.16/55,703.52 = 9,434.16/x
  3. Step 3: Cross multiply
    37,136.16x = 55,703.52 × 9,434.16
  4. Step 4: Simplify right side
    37,136.16x = 525,515,920.24
  5. Step 5: Solve for x
    x = 525,515,920.24/37,136.16
  6. Step 6: Final answer
    x = 14,151.06

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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.