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Finding the Fourth Proportional to 83,014.96, 114,560.11 and 47,204.97

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Solution

The fourth proportional to 83,014.96, 114,560.11 and 47,204.97 is: 65,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014.96 : 114,560.11 = 47,204.97 : x
  2. Step 2: Convert to fraction form
    83,014.96/114,560.11 = 47,204.97/x
  3. Step 3: Cross multiply
    83,014.96x = 114,560.11 × 47,204.97
  4. Step 4: Simplify right side
    83,014.96x = 5,407,806,555.75
  5. Step 5: Solve for x
    x = 5,407,806,555.75/83,014.96
  6. Step 6: Final answer
    x = 65,142.55

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1.5x scale

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.