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Finding the Fourth Proportional to 32,144.70, 48,224.70 and 13,414.34

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Solution

The fourth proportional to 32,144.70, 48,224.70 and 13,414.34 is: 20,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.70 : 48,224.70 = 13,414.34 : x
  2. Step 2: Convert to fraction form
    32,144.70/48,224.70 = 13,414.34/x
  3. Step 3: Cross multiply
    32,144.70x = 48,224.70 × 13,414.34
  4. Step 4: Simplify right side
    32,144.70x = 646,902,281.07
  5. Step 5: Solve for x
    x = 646,902,281.07/32,144.70
  6. Step 6: Final answer
    x = 20,124.69

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1.5x scale

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.