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Finding the Fourth Proportional to 32,781.54, 45,238.41 and 18,634.38

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Solution

The fourth proportional to 32,781.54, 45,238.41 and 18,634.38 is: 25,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.54 : 45,238.41 = 18,634.38 : x
  2. Step 2: Convert to fraction form
    32,781.54/45,238.41 = 18,634.38/x
  3. Step 3: Cross multiply
    32,781.54x = 45,238.41 × 18,634.38
  4. Step 4: Simplify right side
    32,781.54x = 842,989,722.54
  5. Step 5: Solve for x
    x = 842,989,722.54/32,781.54
  6. Step 6: Final answer
    x = 25,715.38

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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.