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Finding the Fourth Proportional to 111,298.80, 166,948.50 and 32,414.96

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Solution

The fourth proportional to 111,298.80, 166,948.50 and 32,414.96 is: 48,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,298.80 : 166,948.50 = 32,414.96 : x
  2. Step 2: Convert to fraction form
    111,298.80/166,948.50 = 32,414.96/x
  3. Step 3: Cross multiply
    111,298.80x = 166,948.50 × 32,414.96
  4. Step 4: Simplify right side
    111,298.80x = 5,411,628,949.56
  5. Step 5: Solve for x
    x = 5,411,628,949.56/111,298.80
  6. Step 6: Final answer
    x = 48,622.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.