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Finding the Fourth Proportional to 121,194.96, 181,801.56 and 32,446.50

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Solution

The fourth proportional to 121,194.96, 181,801.56 and 32,446.50 is: 48,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,194.96 : 181,801.56 = 32,446.50 : x
  2. Step 2: Convert to fraction form
    121,194.96/181,801.56 = 32,446.50/x
  3. Step 3: Cross multiply
    121,194.96x = 181,801.56 × 32,446.50
  4. Step 4: Simplify right side
    121,194.96x = 5,898,824,316.54
  5. Step 5: Solve for x
    x = 5,898,824,316.54/121,194.96
  6. Step 6: Final answer
    x = 48,672.19

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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.