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Finding the Fourth Proportional to 83,206.64, 114,822.60 and 47,401.76

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Solution

The fourth proportional to 83,206.64, 114,822.60 and 47,401.76 is: 65,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.64 : 114,822.60 = 47,401.76 : x
  2. Step 2: Convert to fraction form
    83,206.64/114,822.60 = 47,401.76/x
  3. Step 3: Cross multiply
    83,206.64x = 114,822.60 × 47,401.76
  4. Step 4: Simplify right side
    83,206.64x = 5,442,793,327.78
  5. Step 5: Solve for x
    x = 5,442,793,327.78/83,206.64
  6. Step 6: Final answer
    x = 65,412.97

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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.