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Finding the Fourth Proportional to 67,876.88, 101,818.06 and 32,319.90

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Solution

The fourth proportional to 67,876.88, 101,818.06 and 32,319.90 is: 48,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876.88 : 101,818.06 = 32,319.90 : x
  2. Step 2: Convert to fraction form
    67,876.88/101,818.06 = 32,319.90/x
  3. Step 3: Cross multiply
    67,876.88x = 101,818.06 × 32,319.90
  4. Step 4: Simplify right side
    67,876.88x = 3,290,749,436.59
  5. Step 5: Solve for x
    x = 3,290,749,436.59/67,876.88
  6. Step 6: Final answer
    x = 48,481.16

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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.