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Finding the Fourth Proportional to 32,448.70, 48,565.05 and 23,538.70

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Solution

The fourth proportional to 32,448.70, 48,565.05 and 23,538.70 is: 35,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.70 : 48,565.05 = 23,538.70 : x
  2. Step 2: Convert to fraction form
    32,448.70/48,565.05 = 23,538.70/x
  3. Step 3: Cross multiply
    32,448.70x = 48,565.05 × 23,538.70
  4. Step 4: Simplify right side
    32,448.70x = 1,143,158,142.44
  5. Step 5: Solve for x
    x = 1,143,158,142.44/32,448.70
  6. Step 6: Final answer
    x = 35,229.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.