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Finding the Fourth Proportional to 29,422, 40,604.25 and 16,502.48

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Solution

The fourth proportional to 29,422, 40,604.25 and 16,502.48 is: 22,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422 : 40,604.25 = 16,502.48 : x
  2. Step 2: Convert to fraction form
    29,422/40,604.25 = 16,502.48/x
  3. Step 3: Cross multiply
    29,422x = 40,604.25 × 16,502.48
  4. Step 4: Simplify right side
    29,422x = 670,070,823.54
  5. Step 5: Solve for x
    x = 670,070,823.54/29,422
  6. Step 6: Final answer
    x = 22,774.48

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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.