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Finding the Fourth Proportional to 96,083.92, 144,125.88 and 49,306.96

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Solution

The fourth proportional to 96,083.92, 144,125.88 and 49,306.96 is: 73,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,083.92 : 144,125.88 = 49,306.96 : x
  2. Step 2: Convert to fraction form
    96,083.92/144,125.88 = 49,306.96/x
  3. Step 3: Cross multiply
    96,083.92x = 144,125.88 × 49,306.96
  4. Step 4: Simplify right side
    96,083.92x = 7,106,409,000.12
  5. Step 5: Solve for x
    x = 7,106,409,000.12/96,083.92
  6. Step 6: Final answer
    x = 73,960.44

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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.