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Finding the Fourth Proportional to 83,820.50, 115,668.77 and 47,524.39

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Solution

The fourth proportional to 83,820.50, 115,668.77 and 47,524.39 is: 65,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.50 : 115,668.77 = 47,524.39 : x
  2. Step 2: Convert to fraction form
    83,820.50/115,668.77 = 47,524.39/x
  3. Step 3: Cross multiply
    83,820.50x = 115,668.77 × 47,524.39
  4. Step 4: Simplify right side
    83,820.50x = 5,497,087,736.30
  5. Step 5: Solve for x
    x = 5,497,087,736.30/83,820.50
  6. Step 6: Final answer
    x = 65,581.66

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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.