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Finding the Fourth Proportional to 30,213.83, 41,700.08 and 25,170.06

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Solution

The fourth proportional to 30,213.83, 41,700.08 and 25,170.06 is: 34,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.83 : 41,700.08 = 25,170.06 : x
  2. Step 2: Convert to fraction form
    30,213.83/41,700.08 = 25,170.06/x
  3. Step 3: Cross multiply
    30,213.83x = 41,700.08 × 25,170.06
  4. Step 4: Simplify right side
    30,213.83x = 1,049,593,734.91
  5. Step 5: Solve for x
    x = 1,049,593,734.91/30,213.83
  6. Step 6: Final answer
    x = 34,738.85

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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.