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Finding the Fourth Proportional to 82,711.52, 124,071.12 and 26,553.92

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Solution

The fourth proportional to 82,711.52, 124,071.12 and 26,553.92 is: 39,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,711.52 : 124,071.12 = 26,553.92 : x
  2. Step 2: Convert to fraction form
    82,711.52/124,071.12 = 26,553.92/x
  3. Step 3: Cross multiply
    82,711.52x = 124,071.12 × 26,553.92
  4. Step 4: Simplify right side
    82,711.52x = 3,294,574,594.79
  5. Step 5: Solve for x
    x = 3,294,574,594.79/82,711.52
  6. Step 6: Final answer
    x = 39,832.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.