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Finding the Fourth Proportional to 29,897, 41,259.14 and 16,649

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Solution

The fourth proportional to 29,897, 41,259.14 and 16,649 is: 22,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897 : 41,259.14 = 16,649 : x
  2. Step 2: Convert to fraction form
    29,897/41,259.14 = 16,649/x
  3. Step 3: Cross multiply
    29,897x = 41,259.14 × 16,649
  4. Step 4: Simplify right side
    29,897x = 686,923,421.86
  5. Step 5: Solve for x
    x = 686,923,421.86/29,897
  6. Step 6: Final answer
    x = 22,976.33

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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.