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Finding the Fourth Proportional to 93,876.20, 140,811.84 and 31,546.68

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Solution

The fourth proportional to 93,876.20, 140,811.84 and 31,546.68 is: 47,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,876.20 : 140,811.84 = 31,546.68 : x
  2. Step 2: Convert to fraction form
    93,876.20/140,811.84 = 31,546.68/x
  3. Step 3: Cross multiply
    93,876.20x = 140,811.84 × 31,546.68
  4. Step 4: Simplify right side
    93,876.20x = 4,442,146,056.69
  5. Step 5: Solve for x
    x = 4,442,146,056.69/93,876.20
  6. Step 6: Final answer
    x = 47,319.19

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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.