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Finding the Fourth Proportional to 83,478.16, 125,231.82 and 36,729.82

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Solution

The fourth proportional to 83,478.16, 125,231.82 and 36,729.82 is: 55,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.16 : 125,231.82 = 36,729.82 : x
  2. Step 2: Convert to fraction form
    83,478.16/125,231.82 = 36,729.82/x
  3. Step 3: Cross multiply
    83,478.16x = 125,231.82 × 36,729.82
  4. Step 4: Simplify right side
    83,478.16x = 4,599,742,206.87
  5. Step 5: Solve for x
    x = 4,599,742,206.87/83,478.16
  6. Step 6: Final answer
    x = 55,101.15

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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.