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Finding the Fourth Proportional to 83,269.56, 114,912.90 and 45,543

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Solution

The fourth proportional to 83,269.56, 114,912.90 and 45,543 is: 62,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269.56 : 114,912.90 = 45,543 : x
  2. Step 2: Convert to fraction form
    83,269.56/114,912.90 = 45,543/x
  3. Step 3: Cross multiply
    83,269.56x = 114,912.90 × 45,543
  4. Step 4: Simplify right side
    83,269.56x = 5,233,478,204.70
  5. Step 5: Solve for x
    x = 5,233,478,204.70/83,269.56
  6. Step 6: Final answer
    x = 62,849.84

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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.