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Finding the Fourth Proportional to 83,266.56, 114,908.76 and 45,540

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Solution

The fourth proportional to 83,266.56, 114,908.76 and 45,540 is: 62,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.56 : 114,908.76 = 45,540 : x
  2. Step 2: Convert to fraction form
    83,266.56/114,908.76 = 45,540/x
  3. Step 3: Cross multiply
    83,266.56x = 114,908.76 × 45,540
  4. Step 4: Simplify right side
    83,266.56x = 5,232,944,930.40
  5. Step 5: Solve for x
    x = 5,232,944,930.40/83,266.56
  6. Step 6: Final answer
    x = 62,845.70

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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.