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Finding the Fourth Proportional to 84,287.86, 126,386.85 and 36,847.42

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Solution

The fourth proportional to 84,287.86, 126,386.85 and 36,847.42 is: 55,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.86 : 126,386.85 = 36,847.42 : x
  2. Step 2: Convert to fraction form
    84,287.86/126,386.85 = 36,847.42/x
  3. Step 3: Cross multiply
    84,287.86x = 126,386.85 × 36,847.42
  4. Step 4: Simplify right side
    84,287.86x = 4,657,029,344.43
  5. Step 5: Solve for x
    x = 4,657,029,344.43/84,287.86
  6. Step 6: Final answer
    x = 55,251.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.