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Finding the Fourth Proportional to 96,966, 145,377.72 and 36,983.88

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Solution

The fourth proportional to 96,966, 145,377.72 and 36,983.88 is: 55,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966 : 145,377.72 = 36,983.88 : x
  2. Step 2: Convert to fraction form
    96,966/145,377.72 = 36,983.88/x
  3. Step 3: Cross multiply
    96,966x = 145,377.72 × 36,983.88
  4. Step 4: Simplify right side
    96,966x = 5,376,632,151.15
  5. Step 5: Solve for x
    x = 5,376,632,151.15/96,966
  6. Step 6: Final answer
    x = 55,448.63

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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.