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Finding the Fourth Proportional to 101,851.78, 152,769.82 and 41,863.86

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Solution

The fourth proportional to 101,851.78, 152,769.82 and 41,863.86 is: 62,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,851.78 : 152,769.82 = 41,863.86 : x
  2. Step 2: Convert to fraction form
    101,851.78/152,769.82 = 41,863.86/x
  3. Step 3: Cross multiply
    101,851.78x = 152,769.82 × 41,863.86
  4. Step 4: Simplify right side
    101,851.78x = 6,395,534,356.71
  5. Step 5: Solve for x
    x = 6,395,534,356.71/101,851.78
  6. Step 6: Final answer
    x = 62,792.56

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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.