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Finding the Fourth Proportional to 34,193.64, 47,164.18 and 29,709.71

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Solution

The fourth proportional to 34,193.64, 47,164.18 and 29,709.71 is: 40,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.64 : 47,164.18 = 29,709.71 : x
  2. Step 2: Convert to fraction form
    34,193.64/47,164.18 = 29,709.71/x
  3. Step 3: Cross multiply
    34,193.64x = 47,164.18 × 29,709.71
  4. Step 4: Simplify right side
    34,193.64x = 1,401,234,110.19
  5. Step 5: Solve for x
    x = 1,401,234,110.19/34,193.64
  6. Step 6: Final answer
    x = 40,979.38

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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.