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Finding the Fourth Proportional to 42,414.80, 63,670.80 and 22,683.20

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Solution

The fourth proportional to 42,414.80, 63,670.80 and 22,683.20 is: 34,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414.80 : 63,670.80 = 22,683.20 : x
  2. Step 2: Convert to fraction form
    42,414.80/63,670.80 = 22,683.20/x
  3. Step 3: Cross multiply
    42,414.80x = 63,670.80 × 22,683.20
  4. Step 4: Simplify right side
    42,414.80x = 1,444,257,490.56
  5. Step 5: Solve for x
    x = 1,444,257,490.56/42,414.80
  6. Step 6: Final answer
    x = 34,050.79

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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.