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Finding the Fourth Proportional to 120,912.46, 181,368.47 and 32,165.96

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Solution

The fourth proportional to 120,912.46, 181,368.47 and 32,165.96 is: 48,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912.46 : 181,368.47 = 32,165.96 : x
  2. Step 2: Convert to fraction form
    120,912.46/181,368.47 = 32,165.96/x
  3. Step 3: Cross multiply
    120,912.46x = 181,368.47 × 32,165.96
  4. Step 4: Simplify right side
    120,912.46x = 5,833,890,790.45
  5. Step 5: Solve for x
    x = 5,833,890,790.45/120,912.46
  6. Step 6: Final answer
    x = 48,248.88

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Why These Related Problems?

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