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Finding the Fourth Proportional to 82,301.52, 123,452.28 and 23,143.20

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Solution

The fourth proportional to 82,301.52, 123,452.28 and 23,143.20 is: 34,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,301.52 : 123,452.28 = 23,143.20 : x
  2. Step 2: Convert to fraction form
    82,301.52/123,452.28 = 23,143.20/x
  3. Step 3: Cross multiply
    82,301.52x = 123,452.28 × 23,143.20
  4. Step 4: Simplify right side
    82,301.52x = 2,857,080,806.50
  5. Step 5: Solve for x
    x = 2,857,080,806.50/82,301.52
  6. Step 6: Final answer
    x = 34,714.80

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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.