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Finding the Fourth Proportional to 83,015.44, 114,560.80 and 47,205.48

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Solution

The fourth proportional to 83,015.44, 114,560.80 and 47,205.48 is: 65,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,015.44 : 114,560.80 = 47,205.48 : x
  2. Step 2: Convert to fraction form
    83,015.44/114,560.80 = 47,205.48/x
  3. Step 3: Cross multiply
    83,015.44x = 114,560.80 × 47,205.48
  4. Step 4: Simplify right side
    83,015.44x = 5,407,897,553.18
  5. Step 5: Solve for x
    x = 5,407,897,553.18/83,015.44
  6. Step 6: Final answer
    x = 65,143.27

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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.