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Finding the Fourth Proportional to 83,824.85, 125,763.26 and 29,057.01

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Solution

The fourth proportional to 83,824.85, 125,763.26 and 29,057.01 is: 43,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.85 : 125,763.26 = 29,057.01 : x
  2. Step 2: Convert to fraction form
    83,824.85/125,763.26 = 29,057.01/x
  3. Step 3: Cross multiply
    83,824.85x = 125,763.26 × 29,057.01
  4. Step 4: Simplify right side
    83,824.85x = 3,654,303,686.56
  5. Step 5: Solve for x
    x = 3,654,303,686.56/83,824.85
  6. Step 6: Final answer
    x = 43,594.51

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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.