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Finding the Fourth Proportional to 75,851.76, 113,835.72 and 34,327.92

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Solution

The fourth proportional to 75,851.76, 113,835.72 and 34,327.92 is: 51,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851.76 : 113,835.72 = 34,327.92 : x
  2. Step 2: Convert to fraction form
    75,851.76/113,835.72 = 34,327.92/x
  3. Step 3: Cross multiply
    75,851.76x = 113,835.72 × 34,327.92
  4. Step 4: Simplify right side
    75,851.76x = 3,907,743,489.30
  5. Step 5: Solve for x
    x = 3,907,743,489.30/75,851.76
  6. Step 6: Final answer
    x = 51,518.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.