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Finding the Fourth Proportional to 75,126.91, 103,671.93 and 41,134.78

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Solution

The fourth proportional to 75,126.91, 103,671.93 and 41,134.78 is: 56,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,126.91 : 103,671.93 = 41,134.78 : x
  2. Step 2: Convert to fraction form
    75,126.91/103,671.93 = 41,134.78/x
  3. Step 3: Cross multiply
    75,126.91x = 103,671.93 × 41,134.78
  4. Step 4: Simplify right side
    75,126.91x = 4,264,522,032.73
  5. Step 5: Solve for x
    x = 4,264,522,032.73/75,126.91
  6. Step 6: Final answer
    x = 56,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.