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Finding the Fourth Proportional to 92,203.32, 138,391.38 and 47,861.40

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Solution

The fourth proportional to 92,203.32, 138,391.38 and 47,861.40 is: 71,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,203.32 : 138,391.38 = 47,861.40 : x
  2. Step 2: Convert to fraction form
    92,203.32/138,391.38 = 47,861.40/x
  3. Step 3: Cross multiply
    92,203.32x = 138,391.38 × 47,861.40
  4. Step 4: Simplify right side
    92,203.32x = 6,623,605,194.73
  5. Step 5: Solve for x
    x = 6,623,605,194.73/92,203.32
  6. Step 6: Final answer
    x = 71,836.95

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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.