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Finding the Fourth Proportional to 29,952.98, 41,335.02 and 17,207

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Solution

The fourth proportional to 29,952.98, 41,335.02 and 17,207 is: 23,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952.98 : 41,335.02 = 17,207 : x
  2. Step 2: Convert to fraction form
    29,952.98/41,335.02 = 17,207/x
  3. Step 3: Cross multiply
    29,952.98x = 41,335.02 × 17,207
  4. Step 4: Simplify right side
    29,952.98x = 711,251,689.14
  5. Step 5: Solve for x
    x = 711,251,689.14/29,952.98
  6. Step 6: Final answer
    x = 23,745.61

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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.