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Finding the Fourth Proportional to 83,291.75, 114,945.32 and 45,566.00

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Solution

The fourth proportional to 83,291.75, 114,945.32 and 45,566.00 is: 62,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.75 : 114,945.32 = 45,566.00 : x
  2. Step 2: Convert to fraction form
    83,291.75/114,945.32 = 45,566.00/x
  3. Step 3: Cross multiply
    83,291.75x = 114,945.32 × 45,566.00
  4. Step 4: Simplify right side
    83,291.75x = 5,237,597,648.56
  5. Step 5: Solve for x
    x = 5,237,597,648.56/83,291.75
  6. Step 6: Final answer
    x = 62,882.55

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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.