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Finding the Fourth Proportional to 29,771.85, 41,084.01 and 16,342.76

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Solution

The fourth proportional to 29,771.85, 41,084.01 and 16,342.76 is: 22,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,771.85 : 41,084.01 = 16,342.76 : x
  2. Step 2: Convert to fraction form
    29,771.85/41,084.01 = 16,342.76/x
  3. Step 3: Cross multiply
    29,771.85x = 41,084.01 × 16,342.76
  4. Step 4: Simplify right side
    29,771.85x = 671,426,217.98
  5. Step 5: Solve for x
    x = 671,426,217.98/29,771.85
  6. Step 6: Final answer
    x = 22,552.38

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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.