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Finding the Fourth Proportional to 75,878.41, 104,706.83 and 41,881.44

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Solution

The fourth proportional to 75,878.41, 104,706.83 and 41,881.44 is: 57,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.41 : 104,706.83 = 41,881.44 : x
  2. Step 2: Convert to fraction form
    75,878.41/104,706.83 = 41,881.44/x
  3. Step 3: Cross multiply
    75,878.41x = 104,706.83 × 41,881.44
  4. Step 4: Simplify right side
    75,878.41x = 4,385,272,713.53
  5. Step 5: Solve for x
    x = 4,385,272,713.53/75,878.41
  6. Step 6: Final answer
    x = 57,793.42

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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.