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Finding the Fourth Proportional to 73,948.76, 102,049.32 and 40,414.76

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Solution

The fourth proportional to 73,948.76, 102,049.32 and 40,414.76 is: 55,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,948.76 : 102,049.32 = 40,414.76 : x
  2. Step 2: Convert to fraction form
    73,948.76/102,049.32 = 40,414.76/x
  3. Step 3: Cross multiply
    73,948.76x = 102,049.32 × 40,414.76
  4. Step 4: Simplify right side
    73,948.76x = 4,124,298,775.96
  5. Step 5: Solve for x
    x = 4,124,298,775.96/73,948.76
  6. Step 6: Final answer
    x = 55,772.39

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