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Finding the Fourth Proportional to 96,886.64, 145,366.86 and 33,713.78

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Solution

The fourth proportional to 96,886.64, 145,366.86 and 33,713.78 is: 50,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,886.64 : 145,366.86 = 33,713.78 : x
  2. Step 2: Convert to fraction form
    96,886.64/145,366.86 = 33,713.78/x
  3. Step 3: Cross multiply
    96,886.64x = 145,366.86 × 33,713.78
  4. Step 4: Simplify right side
    96,886.64x = 4,900,866,337.33
  5. Step 5: Solve for x
    x = 4,900,866,337.33/96,886.64
  6. Step 6: Final answer
    x = 50,583.51

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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.