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Finding the Fourth Proportional to 38,099.34, 57,146.88 and 11,803.30

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Solution

The fourth proportional to 38,099.34, 57,146.88 and 11,803.30 is: 17,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099.34 : 57,146.88 = 11,803.30 : x
  2. Step 2: Convert to fraction form
    38,099.34/57,146.88 = 11,803.30/x
  3. Step 3: Cross multiply
    38,099.34x = 57,146.88 × 11,803.30
  4. Step 4: Simplify right side
    38,099.34x = 674,521,768.70
  5. Step 5: Solve for x
    x = 674,521,768.70/38,099.34
  6. Step 6: Final answer
    x = 17,704.29

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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.