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Finding the Fourth Proportional to 83,047.75, 114,612.06 and 47,249.29

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Solution

The fourth proportional to 83,047.75, 114,612.06 and 47,249.29 is: 65,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.75 : 114,612.06 = 47,249.29 : x
  2. Step 2: Convert to fraction form
    83,047.75/114,612.06 = 47,249.29/x
  3. Step 3: Cross multiply
    83,047.75x = 114,612.06 × 47,249.29
  4. Step 4: Simplify right side
    83,047.75x = 5,415,338,460.44
  5. Step 5: Solve for x
    x = 5,415,338,460.44/83,047.75
  6. Step 6: Final answer
    x = 65,207.53

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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.