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Finding the Fourth Proportional to 32,104.40, 48,142.20 and 14,565.20

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Solution

The fourth proportional to 32,104.40, 48,142.20 and 14,565.20 is: 21,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.40 : 48,142.20 = 14,565.20 : x
  2. Step 2: Convert to fraction form
    32,104.40/48,142.20 = 14,565.20/x
  3. Step 3: Cross multiply
    32,104.40x = 48,142.20 × 14,565.20
  4. Step 4: Simplify right side
    32,104.40x = 701,200,771.44
  5. Step 5: Solve for x
    x = 701,200,771.44/32,104.40
  6. Step 6: Final answer
    x = 21,841.27

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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.