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Finding the Fourth Proportional to 120,912.48, 181,368.36 and 32,166

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Solution

The fourth proportional to 120,912.48, 181,368.36 and 32,166 is: 48,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912.48 : 181,368.36 = 32,166 : x
  2. Step 2: Convert to fraction form
    120,912.48/181,368.36 = 32,166/x
  3. Step 3: Cross multiply
    120,912.48x = 181,368.36 × 32,166
  4. Step 4: Simplify right side
    120,912.48x = 5,833,894,667.76
  5. Step 5: Solve for x
    x = 5,833,894,667.76/120,912.48
  6. Step 6: Final answer
    x = 48,248.90

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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.