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Finding the Fourth Proportional to 96,615.76, 133,304.50 and 55,769.88

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Solution

The fourth proportional to 96,615.76, 133,304.50 and 55,769.88 is: 76,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,615.76 : 133,304.50 = 55,769.88 : x
  2. Step 2: Convert to fraction form
    96,615.76/133,304.50 = 55,769.88/x
  3. Step 3: Cross multiply
    96,615.76x = 133,304.50 × 55,769.88
  4. Step 4: Simplify right side
    96,615.76x = 7,434,375,968.46
  5. Step 5: Solve for x
    x = 7,434,375,968.46/96,615.76
  6. Step 6: Final answer
    x = 76,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.