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Finding the Fourth Proportional to 73,677.71, 101,673.87 and 40,974.13

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Solution

The fourth proportional to 73,677.71, 101,673.87 and 40,974.13 is: 56,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,677.71 : 101,673.87 = 40,974.13 : x
  2. Step 2: Convert to fraction form
    73,677.71/101,673.87 = 40,974.13/x
  3. Step 3: Cross multiply
    73,677.71x = 101,673.87 × 40,974.13
  4. Step 4: Simplify right side
    73,677.71x = 4,165,998,366.98
  5. Step 5: Solve for x
    x = 4,165,998,366.98/73,677.71
  6. Step 6: Final answer
    x = 56,543.54

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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.