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Finding the Fourth Proportional to 73,602.66, 101,602.14 and 49,761.66

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Solution

The fourth proportional to 73,602.66, 101,602.14 and 49,761.66 is: 68,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,602.66 : 101,602.14 = 49,761.66 : x
  2. Step 2: Convert to fraction form
    73,602.66/101,602.14 = 49,761.66/x
  3. Step 3: Cross multiply
    73,602.66x = 101,602.14 × 49,761.66
  4. Step 4: Simplify right side
    73,602.66x = 5,055,891,145.95
  5. Step 5: Solve for x
    x = 5,055,891,145.95/73,602.66
  6. Step 6: Final answer
    x = 68,691.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.