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Finding the Fourth Proportional to 92,191.86, 138,321 and 32,229.18

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Solution

The fourth proportional to 92,191.86, 138,321 and 32,229.18 is: 48,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,191.86 : 138,321 = 32,229.18 : x
  2. Step 2: Convert to fraction form
    92,191.86/138,321 = 32,229.18/x
  3. Step 3: Cross multiply
    92,191.86x = 138,321 × 32,229.18
  4. Step 4: Simplify right side
    92,191.86x = 4,457,972,406.78
  5. Step 5: Solve for x
    x = 4,457,972,406.78/92,191.86
  6. Step 6: Final answer
    x = 48,355.38

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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.