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Finding the Fourth Proportional to 106,120.50, 159,181.83 and 32,248.50

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Solution

The fourth proportional to 106,120.50, 159,181.83 and 32,248.50 is: 48,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120.50 : 159,181.83 = 32,248.50 : x
  2. Step 2: Convert to fraction form
    106,120.50/159,181.83 = 32,248.50/x
  3. Step 3: Cross multiply
    106,120.50x = 159,181.83 × 32,248.50
  4. Step 4: Simplify right side
    106,120.50x = 5,133,375,244.76
  5. Step 5: Solve for x
    x = 5,133,375,244.76/106,120.50
  6. Step 6: Final answer
    x = 48,373.08

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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.