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Finding the Fourth Proportional to 38,071.52, 57,096.19 and 11,416.44

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Solution

The fourth proportional to 38,071.52, 57,096.19 and 11,416.44 is: 17,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071.52 : 57,096.19 = 11,416.44 : x
  2. Step 2: Convert to fraction form
    38,071.52/57,096.19 = 11,416.44/x
  3. Step 3: Cross multiply
    38,071.52x = 57,096.19 × 11,416.44
  4. Step 4: Simplify right side
    38,071.52x = 651,835,455.74
  5. Step 5: Solve for x
    x = 651,835,455.74/38,071.52
  6. Step 6: Final answer
    x = 17,121.34

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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.