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Finding the Fourth Proportional to 32,642.38, 45,046.77 and 17,738.38

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Solution

The fourth proportional to 32,642.38, 45,046.77 and 17,738.38 is: 24,479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.38 : 45,046.77 = 17,738.38 : x
  2. Step 2: Convert to fraction form
    32,642.38/45,046.77 = 17,738.38/x
  3. Step 3: Cross multiply
    32,642.38x = 45,046.77 × 17,738.38
  4. Step 4: Simplify right side
    32,642.38x = 799,056,410.11
  5. Step 5: Solve for x
    x = 799,056,410.11/32,642.38
  6. Step 6: Final answer
    x = 24,479.11

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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.