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Finding the Fourth Proportional to 104,781.78, 157,064.13 and 41,575.86

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Solution

The fourth proportional to 104,781.78, 157,064.13 and 41,575.86 is: 62,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,781.78 : 157,064.13 = 41,575.86 : x
  2. Step 2: Convert to fraction form
    104,781.78/157,064.13 = 41,575.86/x
  3. Step 3: Cross multiply
    104,781.78x = 157,064.13 × 41,575.86
  4. Step 4: Simplify right side
    104,781.78x = 6,530,076,279.90
  5. Step 5: Solve for x
    x = 6,530,076,279.90/104,781.78
  6. Step 6: Final answer
    x = 62,320.72

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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.