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Finding the Fourth Proportional to 93,781.56, 140,672.34 and 31,451.88

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Solution

The fourth proportional to 93,781.56, 140,672.34 and 31,451.88 is: 47,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,781.56 : 140,672.34 = 31,451.88 : x
  2. Step 2: Convert to fraction form
    93,781.56/140,672.34 = 31,451.88/x
  3. Step 3: Cross multiply
    93,781.56x = 140,672.34 × 31,451.88
  4. Step 4: Simplify right side
    93,781.56x = 4,424,409,557.00
  5. Step 5: Solve for x
    x = 4,424,409,557.00/93,781.56
  6. Step 6: Final answer
    x = 47,177.82

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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.