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Finding the Fourth Proportional to 82,862.14, 114,349.17 and 45,136.39

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Solution

The fourth proportional to 82,862.14, 114,349.17 and 45,136.39 is: 62,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.14 : 114,349.17 = 45,136.39 : x
  2. Step 2: Convert to fraction form
    82,862.14/114,349.17 = 45,136.39/x
  3. Step 3: Cross multiply
    82,862.14x = 114,349.17 × 45,136.39
  4. Step 4: Simplify right side
    82,862.14x = 5,161,308,733.30
  5. Step 5: Solve for x
    x = 5,161,308,733.30/82,862.14
  6. Step 6: Final answer
    x = 62,287.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.