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Finding the Fourth Proportional to 96,277.12, 144,431.04 and 33,938.56

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Solution

The fourth proportional to 96,277.12, 144,431.04 and 33,938.56 is: 50,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,277.12 : 144,431.04 = 33,938.56 : x
  2. Step 2: Convert to fraction form
    96,277.12/144,431.04 = 33,938.56/x
  3. Step 3: Cross multiply
    96,277.12x = 144,431.04 × 33,938.56
  4. Step 4: Simplify right side
    96,277.12x = 4,901,781,516.90
  5. Step 5: Solve for x
    x = 4,901,781,516.90/96,277.12
  6. Step 6: Final answer
    x = 50,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.