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Finding the Fourth Proportional to 42,414.50, 63,623.88 and 16,121.30

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Solution

The fourth proportional to 42,414.50, 63,623.88 and 16,121.30 is: 24,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414.50 : 63,623.88 = 16,121.30 : x
  2. Step 2: Convert to fraction form
    42,414.50/63,623.88 = 16,121.30/x
  3. Step 3: Cross multiply
    42,414.50x = 63,623.88 × 16,121.30
  4. Step 4: Simplify right side
    42,414.50x = 1,025,699,338.52
  5. Step 5: Solve for x
    x = 1,025,699,338.52/42,414.50
  6. Step 6: Final answer
    x = 24,182.75

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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.