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Finding the Fourth Proportional to 34,474.88, 51,712.32 and 11,101.76

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Solution

The fourth proportional to 34,474.88, 51,712.32 and 11,101.76 is: 16,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.88 : 51,712.32 = 11,101.76 : x
  2. Step 2: Convert to fraction form
    34,474.88/51,712.32 = 11,101.76/x
  3. Step 3: Cross multiply
    34,474.88x = 51,712.32 × 11,101.76
  4. Step 4: Simplify right side
    34,474.88x = 574,097,765.68
  5. Step 5: Solve for x
    x = 574,097,765.68/34,474.88
  6. Step 6: Final answer
    x = 16,652.64

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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.