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Finding the Fourth Proportional to 83,889.70, 115,770.53 and 48,086.48

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Solution

The fourth proportional to 83,889.70, 115,770.53 and 48,086.48 is: 66,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.70 : 115,770.53 = 48,086.48 : x
  2. Step 2: Convert to fraction form
    83,889.70/115,770.53 = 48,086.48/x
  3. Step 3: Cross multiply
    83,889.70x = 115,770.53 × 48,086.48
  4. Step 4: Simplify right side
    83,889.70x = 5,566,997,685.08
  5. Step 5: Solve for x
    x = 5,566,997,685.08/83,889.70
  6. Step 6: Final answer
    x = 66,360.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.