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Finding the Fourth Proportional to 83,187.40, 114,791.70 and 45,461.56

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Solution

The fourth proportional to 83,187.40, 114,791.70 and 45,461.56 is: 62,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.40 : 114,791.70 = 45,461.56 : x
  2. Step 2: Convert to fraction form
    83,187.40/114,791.70 = 45,461.56/x
  3. Step 3: Cross multiply
    83,187.40x = 114,791.70 × 45,461.56
  4. Step 4: Simplify right side
    83,187.40x = 5,218,609,757.05
  5. Step 5: Solve for x
    x = 5,218,609,757.05/83,187.40
  6. Step 6: Final answer
    x = 62,733.18

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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.