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Finding the Fourth Proportional to 32,138.40, 48,256.20 and 24,751.20

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Solution

The fourth proportional to 32,138.40, 48,256.20 and 24,751.20 is: 37,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.40 : 48,256.20 = 24,751.20 : x
  2. Step 2: Convert to fraction form
    32,138.40/48,256.20 = 24,751.20/x
  3. Step 3: Cross multiply
    32,138.40x = 48,256.20 × 24,751.20
  4. Step 4: Simplify right side
    32,138.40x = 1,194,398,857.44
  5. Step 5: Solve for x
    x = 1,194,398,857.44/32,138.40
  6. Step 6: Final answer
    x = 37,164.23

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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.