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Finding the Fourth Proportional to 106,508.64, 146,974.34 and 59,948.30

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Solution

The fourth proportional to 106,508.64, 146,974.34 and 59,948.30 is: 82,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.64 : 146,974.34 = 59,948.30 : x
  2. Step 2: Convert to fraction form
    106,508.64/146,974.34 = 59,948.30/x
  3. Step 3: Cross multiply
    106,508.64x = 146,974.34 × 59,948.30
  4. Step 4: Simplify right side
    106,508.64x = 8,810,861,826.62
  5. Step 5: Solve for x
    x = 8,810,861,826.62/106,508.64
  6. Step 6: Final answer
    x = 82,724.39

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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.