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Finding the Fourth Proportional to 82,041.52, 123,062.28 and 58,713.52

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Solution

The fourth proportional to 82,041.52, 123,062.28 and 58,713.52 is: 88,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.52 : 123,062.28 = 58,713.52 : x
  2. Step 2: Convert to fraction form
    82,041.52/123,062.28 = 58,713.52/x
  3. Step 3: Cross multiply
    82,041.52x = 123,062.28 × 58,713.52
  4. Step 4: Simplify right side
    82,041.52x = 7,225,419,638.03
  5. Step 5: Solve for x
    x = 7,225,419,638.03/82,041.52
  6. Step 6: Final answer
    x = 88,070.28

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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.