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Finding the Fourth Proportional to 38,296.10, 57,444.18 and 12,002.88

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Solution

The fourth proportional to 38,296.10, 57,444.18 and 12,002.88 is: 18,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.10 : 57,444.18 = 12,002.88 : x
  2. Step 2: Convert to fraction form
    38,296.10/57,444.18 = 12,002.88/x
  3. Step 3: Cross multiply
    38,296.10x = 57,444.18 × 12,002.88
  4. Step 4: Simplify right side
    38,296.10x = 689,495,599.24
  5. Step 5: Solve for x
    x = 689,495,599.24/38,296.10
  6. Step 6: Final answer
    x = 18,004.33

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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.