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Finding the Fourth Proportional to 38,464.80, 57,697.20 and 25,342.80

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Solution

The fourth proportional to 38,464.80, 57,697.20 and 25,342.80 is: 38,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.80 : 57,697.20 = 25,342.80 : x
  2. Step 2: Convert to fraction form
    38,464.80/57,697.20 = 25,342.80/x
  3. Step 3: Cross multiply
    38,464.80x = 57,697.20 × 25,342.80
  4. Step 4: Simplify right side
    38,464.80x = 1,462,208,600.16
  5. Step 5: Solve for x
    x = 1,462,208,600.16/38,464.80
  6. Step 6: Final answer
    x = 38,014.20

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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.