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Finding the Fourth Proportional to 38,542.80, 57,814.20 and 25,323.60

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Solution

The fourth proportional to 38,542.80, 57,814.20 and 25,323.60 is: 37,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.80 : 57,814.20 = 25,323.60 : x
  2. Step 2: Convert to fraction form
    38,542.80/57,814.20 = 25,323.60/x
  3. Step 3: Cross multiply
    38,542.80x = 57,814.20 × 25,323.60
  4. Step 4: Simplify right side
    38,542.80x = 1,464,063,675.12
  5. Step 5: Solve for x
    x = 1,464,063,675.12/38,542.80
  6. Step 6: Final answer
    x = 37,985.40

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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.