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Finding the Fourth Proportional to 42,246.38, 58,280.31 and 24,331.00

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Solution

The fourth proportional to 42,246.38, 58,280.31 and 24,331.00 is: 33,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,246.38 : 58,280.31 = 24,331.00 : x
  2. Step 2: Convert to fraction form
    42,246.38/58,280.31 = 24,331.00/x
  3. Step 3: Cross multiply
    42,246.38x = 58,280.31 × 24,331.00
  4. Step 4: Simplify right side
    42,246.38x = 1,418,018,186.18
  5. Step 5: Solve for x
    x = 1,418,018,186.18/42,246.38
  6. Step 6: Final answer
    x = 33,565.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.