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Finding the Fourth Proportional to 75,885.90, 104,722.91 and 41,893.77

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Solution

The fourth proportional to 75,885.90, 104,722.91 and 41,893.77 is: 57,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.90 : 104,722.91 = 41,893.77 : x
  2. Step 2: Convert to fraction form
    75,885.90/104,722.91 = 41,893.77/x
  3. Step 3: Cross multiply
    75,885.90x = 104,722.91 × 41,893.77
  4. Step 4: Simplify right side
    75,885.90x = 4,387,237,845.61
  5. Step 5: Solve for x
    x = 4,387,237,845.61/75,885.90
  6. Step 6: Final answer
    x = 57,813.61

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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.