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Finding the Fourth Proportional to 82,587.80, 114,018.46 and 54,375.52

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Solution

The fourth proportional to 82,587.80, 114,018.46 and 54,375.52 is: 75,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,587.80 : 114,018.46 = 54,375.52 : x
  2. Step 2: Convert to fraction form
    82,587.80/114,018.46 = 54,375.52/x
  3. Step 3: Cross multiply
    82,587.80x = 114,018.46 × 54,375.52
  4. Step 4: Simplify right side
    82,587.80x = 6,199,813,052.10
  5. Step 5: Solve for x
    x = 6,199,813,052.10/82,587.80
  6. Step 6: Final answer
    x = 75,069.36

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Why These Related Problems?

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