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Finding the Fourth Proportional to 38,393.52, 57,607 and 13,451.46

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Solution

The fourth proportional to 38,393.52, 57,607 and 13,451.46 is: 20,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,393.52 : 57,607 = 13,451.46 : x
  2. Step 2: Convert to fraction form
    38,393.52/57,607 = 13,451.46/x
  3. Step 3: Cross multiply
    38,393.52x = 57,607 × 13,451.46
  4. Step 4: Simplify right side
    38,393.52x = 774,898,256.22
  5. Step 5: Solve for x
    x = 774,898,256.22/38,393.52
  6. Step 6: Final answer
    x = 20,183.05

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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.