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Finding the Fourth Proportional to 83,264.68, 114,870.42 and 54,591.24

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Solution

The fourth proportional to 83,264.68, 114,870.42 and 54,591.24 is: 75,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.68 : 114,870.42 = 54,591.24 : x
  2. Step 2: Convert to fraction form
    83,264.68/114,870.42 = 54,591.24/x
  3. Step 3: Cross multiply
    83,264.68x = 114,870.42 × 54,591.24
  4. Step 4: Simplify right side
    83,264.68x = 6,270,918,667.12
  5. Step 5: Solve for x
    x = 6,270,918,667.12/83,264.68
  6. Step 6: Final answer
    x = 75,313.07

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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.