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Finding the Fourth Proportional to 96,454.38, 132,965.06 and 67,683.18

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Solution

The fourth proportional to 96,454.38, 132,965.06 and 67,683.18 is: 93,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,454.38 : 132,965.06 = 67,683.18 : x
  2. Step 2: Convert to fraction form
    96,454.38/132,965.06 = 67,683.18/x
  3. Step 3: Cross multiply
    96,454.38x = 132,965.06 × 67,683.18
  4. Step 4: Simplify right side
    96,454.38x = 8,999,498,089.69
  5. Step 5: Solve for x
    x = 8,999,498,089.69/96,454.38
  6. Step 6: Final answer
    x = 93,303.16

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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.