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Finding the Fourth Proportional to 82,710.52, 114,079.39 and 52,469.78

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Solution

The fourth proportional to 82,710.52, 114,079.39 and 52,469.78 is: 72,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,710.52 : 114,079.39 = 52,469.78 : x
  2. Step 2: Convert to fraction form
    82,710.52/114,079.39 = 52,469.78/x
  3. Step 3: Cross multiply
    82,710.52x = 114,079.39 × 52,469.78
  4. Step 4: Simplify right side
    82,710.52x = 5,985,719,794.26
  5. Step 5: Solve for x
    x = 5,985,719,794.26/82,710.52
  6. Step 6: Final answer
    x = 72,369.51

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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.