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Finding the Fourth Proportional to 32,144.58, 48,224.51 and 13,414.21

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Solution

The fourth proportional to 32,144.58, 48,224.51 and 13,414.21 is: 20,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.58 : 48,224.51 = 13,414.21 : x
  2. Step 2: Convert to fraction form
    32,144.58/48,224.51 = 13,414.21/x
  3. Step 3: Cross multiply
    32,144.58x = 48,224.51 × 13,414.21
  4. Step 4: Simplify right side
    32,144.58x = 646,893,704.29
  5. Step 5: Solve for x
    x = 646,893,704.29/32,144.58
  6. Step 6: Final answer
    x = 20,124.50

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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.