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Finding the Fourth Proportional to 96,608.82, 144,913.80 and 43,981.50

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Solution

The fourth proportional to 96,608.82, 144,913.80 and 43,981.50 is: 65,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,608.82 : 144,913.80 = 43,981.50 : x
  2. Step 2: Convert to fraction form
    96,608.82/144,913.80 = 43,981.50/x
  3. Step 3: Cross multiply
    96,608.82x = 144,913.80 × 43,981.50
  4. Step 4: Simplify right side
    96,608.82x = 6,373,526,294.70
  5. Step 5: Solve for x
    x = 6,373,526,294.70/96,608.82
  6. Step 6: Final answer
    x = 65,972.51

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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.