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Finding the Fourth Proportional to 29,734.84, 44,602.28 and 7,549.88

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Solution

The fourth proportional to 29,734.84, 44,602.28 and 7,549.88 is: 11,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.84 : 44,602.28 = 7,549.88 : x
  2. Step 2: Convert to fraction form
    29,734.84/44,602.28 = 7,549.88/x
  3. Step 3: Cross multiply
    29,734.84x = 44,602.28 × 7,549.88
  4. Step 4: Simplify right side
    29,734.84x = 336,741,861.73
  5. Step 5: Solve for x
    x = 336,741,861.73/29,734.84
  6. Step 6: Final answer
    x = 11,324.83

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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.