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Finding the Fourth Proportional to 96,638.50, 133,315.74 and 68,359.78

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Solution

The fourth proportional to 96,638.50, 133,315.74 and 68,359.78 is: 94,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.50 : 133,315.74 = 68,359.78 : x
  2. Step 2: Convert to fraction form
    96,638.50/133,315.74 = 68,359.78/x
  3. Step 3: Cross multiply
    96,638.50x = 133,315.74 × 68,359.78
  4. Step 4: Simplify right side
    96,638.50x = 9,113,434,656.94
  5. Step 5: Solve for x
    x = 9,113,434,656.94/96,638.50
  6. Step 6: Final answer
    x = 94,304.39

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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.