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Finding the Fourth Proportional to 127,691.64, 191,530.17 and 48,770.10

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Solution

The fourth proportional to 127,691.64, 191,530.17 and 48,770.10 is: 73,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,691.64 : 191,530.17 = 48,770.10 : x
  2. Step 2: Convert to fraction form
    127,691.64/191,530.17 = 48,770.10/x
  3. Step 3: Cross multiply
    127,691.64x = 191,530.17 × 48,770.10
  4. Step 4: Simplify right side
    127,691.64x = 9,340,945,543.92
  5. Step 5: Solve for x
    x = 9,340,945,543.92/127,691.64
  6. Step 6: Final answer
    x = 73,152.37

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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.