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Finding the Fourth Proportional to 121,562.48, 182,350.20 and 38,450

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Solution

The fourth proportional to 121,562.48, 182,350.20 and 38,450 is: 57,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,562.48 : 182,350.20 = 38,450 : x
  2. Step 2: Convert to fraction form
    121,562.48/182,350.20 = 38,450/x
  3. Step 3: Cross multiply
    121,562.48x = 182,350.20 × 38,450
  4. Step 4: Simplify right side
    121,562.48x = 7,011,365,190
  5. Step 5: Solve for x
    x = 7,011,365,190/121,562.48
  6. Step 6: Final answer
    x = 57,677.05

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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.