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Finding the Fourth Proportional to 75,761.32, 113,525.34 and 48,001

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Solution

The fourth proportional to 75,761.32, 113,525.34 and 48,001 is: 71,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761.32 : 113,525.34 = 48,001 : x
  2. Step 2: Convert to fraction form
    75,761.32/113,525.34 = 48,001/x
  3. Step 3: Cross multiply
    75,761.32x = 113,525.34 × 48,001
  4. Step 4: Simplify right side
    75,761.32x = 5,449,329,845.34
  5. Step 5: Solve for x
    x = 5,449,329,845.34/75,761.32
  6. Step 6: Final answer
    x = 71,927.60

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