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Finding the Fourth Proportional to 75,898.89, 104,742.13 and 41,909.54

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Solution

The fourth proportional to 75,898.89, 104,742.13 and 41,909.54 is: 57,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.89 : 104,742.13 = 41,909.54 : x
  2. Step 2: Convert to fraction form
    75,898.89/104,742.13 = 41,909.54/x
  3. Step 3: Cross multiply
    75,898.89x = 104,742.13 × 41,909.54
  4. Step 4: Simplify right side
    75,898.89x = 4,389,694,486.92
  5. Step 5: Solve for x
    x = 4,389,694,486.92/75,898.89
  6. Step 6: Final answer
    x = 57,836.08

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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.