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Finding the Fourth Proportional to 96,344.64, 132,947.46 and 55,497.96

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Solution

The fourth proportional to 96,344.64, 132,947.46 and 55,497.96 is: 76,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,344.64 : 132,947.46 = 55,497.96 : x
  2. Step 2: Convert to fraction form
    96,344.64/132,947.46 = 55,497.96/x
  3. Step 3: Cross multiply
    96,344.64x = 132,947.46 × 55,497.96
  4. Step 4: Simplify right side
    96,344.64x = 7,378,312,817.18
  5. Step 5: Solve for x
    x = 7,378,312,817.18/96,344.64
  6. Step 6: Final answer
    x = 76,582.49

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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.