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Finding the Fourth Proportional to 73,465.97, 110,200.17 and 31,912.97

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Solution

The fourth proportional to 73,465.97, 110,200.17 and 31,912.97 is: 47,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465.97 : 110,200.17 = 31,912.97 : x
  2. Step 2: Convert to fraction form
    73,465.97/110,200.17 = 31,912.97/x
  3. Step 3: Cross multiply
    73,465.97x = 110,200.17 × 31,912.97
  4. Step 4: Simplify right side
    73,465.97x = 3,516,814,719.20
  5. Step 5: Solve for x
    x = 3,516,814,719.20/73,465.97
  6. Step 6: Final answer
    x = 47,869.98

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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.