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Finding the Fourth Proportional to 51,902.64, 71,621.34 and 29,234.40

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Solution

The fourth proportional to 51,902.64, 71,621.34 and 29,234.40 is: 40,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.64 : 71,621.34 = 29,234.40 : x
  2. Step 2: Convert to fraction form
    51,902.64/71,621.34 = 29,234.40/x
  3. Step 3: Cross multiply
    51,902.64x = 71,621.34 × 29,234.40
  4. Step 4: Simplify right side
    51,902.64x = 2,093,806,902.10
  5. Step 5: Solve for x
    x = 2,093,806,902.10/51,902.64
  6. Step 6: Final answer
    x = 40,341.05

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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.