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Finding the Fourth Proportional to 96,470.78, 144,755.52 and 45,926.92

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Solution

The fourth proportional to 96,470.78, 144,755.52 and 45,926.92 is: 68,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470.78 : 144,755.52 = 45,926.92 : x
  2. Step 2: Convert to fraction form
    96,470.78/144,755.52 = 45,926.92/x
  3. Step 3: Cross multiply
    96,470.78x = 144,755.52 × 45,926.92
  4. Step 4: Simplify right side
    96,470.78x = 6,648,175,186.60
  5. Step 5: Solve for x
    x = 6,648,175,186.60/96,470.78
  6. Step 6: Final answer
    x = 68,913.87

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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.