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Finding the Fourth Proportional to 24,103.44, 36,180.72 and 21,348

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Solution

The fourth proportional to 24,103.44, 36,180.72 and 21,348 is: 32,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103.44 : 36,180.72 = 21,348 : x
  2. Step 2: Convert to fraction form
    24,103.44/36,180.72 = 21,348/x
  3. Step 3: Cross multiply
    24,103.44x = 36,180.72 × 21,348
  4. Step 4: Simplify right side
    24,103.44x = 772,386,010.56
  5. Step 5: Solve for x
    x = 772,386,010.56/24,103.44
  6. Step 6: Final answer
    x = 32,044.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.