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Finding the Fourth Proportional to 83,617.20, 115,388.04 and 47,809.55

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Solution

The fourth proportional to 83,617.20, 115,388.04 and 47,809.55 is: 65,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.20 : 115,388.04 = 47,809.55 : x
  2. Step 2: Convert to fraction form
    83,617.20/115,388.04 = 47,809.55/x
  3. Step 3: Cross multiply
    83,617.20x = 115,388.04 × 47,809.55
  4. Step 4: Simplify right side
    83,617.20x = 5,516,650,267.78
  5. Step 5: Solve for x
    x = 5,516,650,267.78/83,617.20
  6. Step 6: Final answer
    x = 65,975.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.