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Finding the Fourth Proportional to 29,338, 40,489 and 16,092.56

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Solution

The fourth proportional to 29,338, 40,489 and 16,092.56 is: 22,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,338 : 40,489 = 16,092.56 : x
  2. Step 2: Convert to fraction form
    29,338/40,489 = 16,092.56/x
  3. Step 3: Cross multiply
    29,338x = 40,489 × 16,092.56
  4. Step 4: Simplify right side
    29,338x = 651,571,661.84
  5. Step 5: Solve for x
    x = 651,571,661.84/29,338
  6. Step 6: Final answer
    x = 22,209.14

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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.