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Finding the Fourth Proportional to 32,242.28, 44,490.48 and 18,812

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Solution

The fourth proportional to 32,242.28, 44,490.48 and 18,812 is: 25,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,242.28 : 44,490.48 = 18,812 : x
  2. Step 2: Convert to fraction form
    32,242.28/44,490.48 = 18,812/x
  3. Step 3: Cross multiply
    32,242.28x = 44,490.48 × 18,812
  4. Step 4: Simplify right side
    32,242.28x = 836,954,909.76
  5. Step 5: Solve for x
    x = 836,954,909.76/32,242.28
  6. Step 6: Final answer
    x = 25,958.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.