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Finding the Fourth Proportional to 29,750.97, 44,613.12 and 21,396

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Solution

The fourth proportional to 29,750.97, 44,613.12 and 21,396 is: 32,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.97 : 44,613.12 = 21,396 : x
  2. Step 2: Convert to fraction form
    29,750.97/44,613.12 = 21,396/x
  3. Step 3: Cross multiply
    29,750.97x = 44,613.12 × 21,396
  4. Step 4: Simplify right side
    29,750.97x = 954,542,315.52
  5. Step 5: Solve for x
    x = 954,542,315.52/29,750.97
  6. Step 6: Final answer
    x = 32,084.41

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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.