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Finding the Fourth Proportional to 82,781.62, 114,239.14 and 45,056.26

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Solution

The fourth proportional to 82,781.62, 114,239.14 and 45,056.26 is: 62,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,781.62 : 114,239.14 = 45,056.26 : x
  2. Step 2: Convert to fraction form
    82,781.62/114,239.14 = 45,056.26/x
  3. Step 3: Cross multiply
    82,781.62x = 114,239.14 × 45,056.26
  4. Step 4: Simplify right side
    82,781.62x = 5,147,188,394.02
  5. Step 5: Solve for x
    x = 5,147,188,394.02/82,781.62
  6. Step 6: Final answer
    x = 62,177.91

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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.