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Finding the Fourth Proportional to 82,543.92, 123,842.88 and 26,393.28

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Solution

The fourth proportional to 82,543.92, 123,842.88 and 26,393.28 is: 39,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.92 : 123,842.88 = 26,393.28 : x
  2. Step 2: Convert to fraction form
    82,543.92/123,842.88 = 26,393.28/x
  3. Step 3: Cross multiply
    82,543.92x = 123,842.88 × 26,393.28
  4. Step 4: Simplify right side
    82,543.92x = 3,268,619,807.85
  5. Step 5: Solve for x
    x = 3,268,619,807.85/82,543.92
  6. Step 6: Final answer
    x = 39,598.55

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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.