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Finding the Fourth Proportional to 83,011.96, 114,555.97 and 47,201.97

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Solution

The fourth proportional to 83,011.96, 114,555.97 and 47,201.97 is: 65,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,011.96 : 114,555.97 = 47,201.97 : x
  2. Step 2: Convert to fraction form
    83,011.96/114,555.97 = 47,201.97/x
  3. Step 3: Cross multiply
    83,011.96x = 114,555.97 × 47,201.97
  4. Step 4: Simplify right side
    83,011.96x = 5,407,267,459.26
  5. Step 5: Solve for x
    x = 5,407,267,459.26/83,011.96
  6. Step 6: Final answer
    x = 65,138.41

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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.