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Finding the Fourth Proportional to 38,422, 53,022.36 and 21,655

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Solution

The fourth proportional to 38,422, 53,022.36 and 21,655 is: 29,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422 : 53,022.36 = 21,655 : x
  2. Step 2: Convert to fraction form
    38,422/53,022.36 = 21,655/x
  3. Step 3: Cross multiply
    38,422x = 53,022.36 × 21,655
  4. Step 4: Simplify right side
    38,422x = 1,148,199,205.80
  5. Step 5: Solve for x
    x = 1,148,199,205.80/38,422
  6. Step 6: Final answer
    x = 29,883.90

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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.