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Finding the Fourth Proportional to 38,421.60, 57,632.40 and 32,200.80

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Solution

The fourth proportional to 38,421.60, 57,632.40 and 32,200.80 is: 48,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.60 : 57,632.40 = 32,200.80 : x
  2. Step 2: Convert to fraction form
    38,421.60/57,632.40 = 32,200.80/x
  3. Step 3: Cross multiply
    38,421.60x = 57,632.40 × 32,200.80
  4. Step 4: Simplify right side
    38,421.60x = 1,855,809,385.92
  5. Step 5: Solve for x
    x = 1,855,809,385.92/38,421.60
  6. Step 6: Final answer
    x = 48,301.20

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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.