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Finding the Fourth Proportional to 34,422.33, 51,634.06 and 9,462.23

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Solution

The fourth proportional to 34,422.33, 51,634.06 and 9,462.23 is: 14,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,422.33 : 51,634.06 = 9,462.23 : x
  2. Step 2: Convert to fraction form
    34,422.33/51,634.06 = 9,462.23/x
  3. Step 3: Cross multiply
    34,422.33x = 51,634.06 × 9,462.23
  4. Step 4: Simplify right side
    34,422.33x = 488,573,093.38
  5. Step 5: Solve for x
    x = 488,573,093.38/34,422.33
  6. Step 6: Final answer
    x = 14,193.49

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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.