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Finding the Fourth Proportional to 32,753, 45,199.32 and 17,849

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Solution

The fourth proportional to 32,753, 45,199.32 and 17,849 is: 24,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753 : 45,199.32 = 17,849 : x
  2. Step 2: Convert to fraction form
    32,753/45,199.32 = 17,849/x
  3. Step 3: Cross multiply
    32,753x = 45,199.32 × 17,849
  4. Step 4: Simplify right side
    32,753x = 806,762,662.68
  5. Step 5: Solve for x
    x = 806,762,662.68/32,753
  6. Step 6: Final answer
    x = 24,631.72

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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.