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Finding the Fourth Proportional to 101,846.33, 152,778.38 and 41,878.45

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Solution

The fourth proportional to 101,846.33, 152,778.38 and 41,878.45 is: 62,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846.33 : 152,778.38 = 41,878.45 : x
  2. Step 2: Convert to fraction form
    101,846.33/152,778.38 = 41,878.45/x
  3. Step 3: Cross multiply
    101,846.33x = 152,778.38 × 41,878.45
  4. Step 4: Simplify right side
    101,846.33x = 6,398,121,538.52
  5. Step 5: Solve for x
    x = 6,398,121,538.52/101,846.33
  6. Step 6: Final answer
    x = 62,821.33

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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.