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Finding the Fourth Proportional to 92,082.92, 137,827.34 and 47,648.52

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Solution

The fourth proportional to 92,082.92, 137,827.34 and 47,648.52 is: 71,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,082.92 : 137,827.34 = 47,648.52 : x
  2. Step 2: Convert to fraction form
    92,082.92/137,827.34 = 47,648.52/x
  3. Step 3: Cross multiply
    92,082.92x = 137,827.34 × 47,648.52
  4. Step 4: Simplify right side
    92,082.92x = 6,567,268,766.54
  5. Step 5: Solve for x
    x = 6,567,268,766.54/92,082.92
  6. Step 6: Final answer
    x = 71,319.08

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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.