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Finding the Fourth Proportional to 29,771.34, 41,084.34 and 16,159.38

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Solution

The fourth proportional to 29,771.34, 41,084.34 and 16,159.38 is: 22,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.34 : 41,084.34 = 16,159.38 : x
  2. Step 2: Convert to fraction form
    29,771.34/41,084.34 = 16,159.38/x
  3. Step 3: Cross multiply
    29,771.34x = 41,084.34 × 16,159.38
  4. Step 4: Simplify right side
    29,771.34x = 663,897,462.11
  5. Step 5: Solve for x
    x = 663,897,462.11/29,771.34
  6. Step 6: Final answer
    x = 22,299.89

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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.