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Finding the Fourth Proportional to 38,422.75, 53,025.02 and 21,655.75

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Solution

The fourth proportional to 38,422.75, 53,025.02 and 21,655.75 is: 29,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.75 : 53,025.02 = 21,655.75 : x
  2. Step 2: Convert to fraction form
    38,422.75/53,025.02 = 21,655.75/x
  3. Step 3: Cross multiply
    38,422.75x = 53,025.02 × 21,655.75
  4. Step 4: Simplify right side
    38,422.75x = 1,148,296,576.87
  5. Step 5: Solve for x
    x = 1,148,296,576.87/38,422.75
  6. Step 6: Final answer
    x = 29,885.85

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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.