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Finding the Fourth Proportional to 38,425.60, 57,465.60 and 32,204.80

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Solution

The fourth proportional to 38,425.60, 57,465.60 and 32,204.80 is: 48,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.60 : 57,465.60 = 32,204.80 : x
  2. Step 2: Convert to fraction form
    38,425.60/57,465.60 = 32,204.80/x
  3. Step 3: Cross multiply
    38,425.60x = 57,465.60 × 32,204.80
  4. Step 4: Simplify right side
    38,425.60x = 1,850,668,154.88
  5. Step 5: Solve for x
    x = 1,850,668,154.88/38,425.60
  6. Step 6: Final answer
    x = 48,162.37

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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.