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Finding the Fourth Proportional to 32,418, 44,736.84 and 17,514

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Solution

The fourth proportional to 32,418, 44,736.84 and 17,514 is: 24,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 44,736.84 = 17,514 : x
  2. Step 2: Convert to fraction form
    32,418/44,736.84 = 17,514/x
  3. Step 3: Cross multiply
    32,418x = 44,736.84 × 17,514
  4. Step 4: Simplify right side
    32,418x = 783,521,015.76
  5. Step 5: Solve for x
    x = 783,521,015.76/32,418
  6. Step 6: Final answer
    x = 24,169.32

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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.