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Finding the Fourth Proportional to 83,704.42, 125,556.63 and 36,947.98

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Solution

The fourth proportional to 83,704.42, 125,556.63 and 36,947.98 is: 55,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.42 : 125,556.63 = 36,947.98 : x
  2. Step 2: Convert to fraction form
    83,704.42/125,556.63 = 36,947.98/x
  3. Step 3: Cross multiply
    83,704.42x = 125,556.63 × 36,947.98
  4. Step 4: Simplify right side
    83,704.42x = 4,639,063,041.58
  5. Step 5: Solve for x
    x = 4,639,063,041.58/83,704.42
  6. Step 6: Final answer
    x = 55,421.96

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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.