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Finding the Fourth Proportional to 32,144.39, 48,224.28 and 13,414.01

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Solution

The fourth proportional to 32,144.39, 48,224.28 and 13,414.01 is: 20,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.39 : 48,224.28 = 13,414.01 : x
  2. Step 2: Convert to fraction form
    32,144.39/48,224.28 = 13,414.01/x
  3. Step 3: Cross multiply
    32,144.39x = 48,224.28 × 13,414.01
  4. Step 4: Simplify right side
    32,144.39x = 646,880,733.04
  5. Step 5: Solve for x
    x = 646,880,733.04/32,144.39
  6. Step 6: Final answer
    x = 20,124.22

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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.