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Finding the Fourth Proportional to 82,711.25, 123,506.62 and 65,652.87

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Solution

The fourth proportional to 82,711.25, 123,506.62 and 65,652.87 is: 98,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.25 : 123,506.62 = 65,652.87 : x
  2. Step 2: Convert to fraction form
    82,711.25/123,506.62 = 65,652.87/x
  3. Step 3: Cross multiply
    82,711.25x = 123,506.62 × 65,652.87
  4. Step 4: Simplify right side
    82,711.25x = 8,108,564,067.00
  5. Step 5: Solve for x
    x = 8,108,564,067.00/82,711.25
  6. Step 6: Final answer
    x = 98,034.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.