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Finding the Fourth Proportional to 32,932, 45,451.92 and 19,684

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Solution

The fourth proportional to 32,932, 45,451.92 and 19,684 is: 27,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932 : 45,451.92 = 19,684 : x
  2. Step 2: Convert to fraction form
    32,932/45,451.92 = 19,684/x
  3. Step 3: Cross multiply
    32,932x = 45,451.92 × 19,684
  4. Step 4: Simplify right side
    32,932x = 894,675,593.28
  5. Step 5: Solve for x
    x = 894,675,593.28/32,932
  6. Step 6: Final answer
    x = 27,167.36

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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.