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Finding the Fourth Proportional to 81,180.96, 121,755.24 and 30,570

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Solution

The fourth proportional to 81,180.96, 121,755.24 and 30,570 is: 45,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180.96 : 121,755.24 = 30,570 : x
  2. Step 2: Convert to fraction form
    81,180.96/121,755.24 = 30,570/x
  3. Step 3: Cross multiply
    81,180.96x = 121,755.24 × 30,570
  4. Step 4: Simplify right side
    81,180.96x = 3,722,057,686.80
  5. Step 5: Solve for x
    x = 3,722,057,686.80/81,180.96
  6. Step 6: Final answer
    x = 45,848.90

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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.