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Finding the Fourth Proportional to 82,424.52, 123,633.36 and 38,036.52

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Solution

The fourth proportional to 82,424.52, 123,633.36 and 38,036.52 is: 57,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424.52 : 123,633.36 = 38,036.52 : x
  2. Step 2: Convert to fraction form
    82,424.52/123,633.36 = 38,036.52/x
  3. Step 3: Cross multiply
    82,424.52x = 123,633.36 × 38,036.52
  4. Step 4: Simplify right side
    82,424.52x = 4,702,582,770.31
  5. Step 5: Solve for x
    x = 4,702,582,770.31/82,424.52
  6. Step 6: Final answer
    x = 57,053.20

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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.