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Finding the Fourth Proportional to 96,016, 132,480.80 and 55,706.38

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Solution

The fourth proportional to 96,016, 132,480.80 and 55,706.38 is: 76,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,016 : 132,480.80 = 55,706.38 : x
  2. Step 2: Convert to fraction form
    96,016/132,480.80 = 55,706.38/x
  3. Step 3: Cross multiply
    96,016x = 132,480.80 × 55,706.38
  4. Step 4: Simplify right side
    96,016x = 7,380,025,787.50
  5. Step 5: Solve for x
    x = 7,380,025,787.50/96,016
  6. Step 6: Final answer
    x = 76,862.46

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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.