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Finding the Fourth Proportional to 96,124.92, 144,245.88 and 36,965.76

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Solution

The fourth proportional to 96,124.92, 144,245.88 and 36,965.76 is: 55,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124.92 : 144,245.88 = 36,965.76 : x
  2. Step 2: Convert to fraction form
    96,124.92/144,245.88 = 36,965.76/x
  3. Step 3: Cross multiply
    96,124.92x = 144,245.88 × 36,965.76
  4. Step 4: Simplify right side
    96,124.92x = 5,332,158,581.07
  5. Step 5: Solve for x
    x = 5,332,158,581.07/96,124.92
  6. Step 6: Final answer
    x = 55,471.14

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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.