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Finding the Fourth Proportional to 42,460.30, 63,691.05 and 16,166.48

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Solution

The fourth proportional to 42,460.30, 63,691.05 and 16,166.48 is: 24,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,460.30 : 63,691.05 = 16,166.48 : x
  2. Step 2: Convert to fraction form
    42,460.30/63,691.05 = 16,166.48/x
  3. Step 3: Cross multiply
    42,460.30x = 63,691.05 × 16,166.48
  4. Step 4: Simplify right side
    42,460.30x = 1,029,660,086.00
  5. Step 5: Solve for x
    x = 1,029,660,086.00/42,460.30
  6. Step 6: Final answer
    x = 24,249.95

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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.