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Finding the Fourth Proportional to 75,867.84, 104,704.56 and 41,882.40

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Solution

The fourth proportional to 75,867.84, 104,704.56 and 41,882.40 is: 57,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,867.84 : 104,704.56 = 41,882.40 : x
  2. Step 2: Convert to fraction form
    75,867.84/104,704.56 = 41,882.40/x
  3. Step 3: Cross multiply
    75,867.84x = 104,704.56 × 41,882.40
  4. Step 4: Simplify right side
    75,867.84x = 4,385,278,263.74
  5. Step 5: Solve for x
    x = 4,385,278,263.74/75,867.84
  6. Step 6: Final answer
    x = 57,801.54

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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.