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Finding the Fourth Proportional to 83,503.76, 125,296.08 and 36,750.56

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Solution

The fourth proportional to 83,503.76, 125,296.08 and 36,750.56 is: 55,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.76 : 125,296.08 = 36,750.56 : x
  2. Step 2: Convert to fraction form
    83,503.76/125,296.08 = 36,750.56/x
  3. Step 3: Cross multiply
    83,503.76x = 125,296.08 × 36,750.56
  4. Step 4: Simplify right side
    83,503.76x = 4,604,701,105.80
  5. Step 5: Solve for x
    x = 4,604,701,105.80/83,503.76
  6. Step 6: Final answer
    x = 55,143.64

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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.