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Finding the Fourth Proportional to 38,296.68, 57,402.42 and 16,103.46

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Solution

The fourth proportional to 38,296.68, 57,402.42 and 16,103.46 is: 24,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.68 : 57,402.42 = 16,103.46 : x
  2. Step 2: Convert to fraction form
    38,296.68/57,402.42 = 16,103.46/x
  3. Step 3: Cross multiply
    38,296.68x = 57,402.42 × 16,103.46
  4. Step 4: Simplify right side
    38,296.68x = 924,377,574.37
  5. Step 5: Solve for x
    x = 924,377,574.37/38,296.68
  6. Step 6: Final answer
    x = 24,137.28

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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.