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Finding the Fourth Proportional to 51,492.38, 71,022.84 and 47,257.12

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Solution

The fourth proportional to 51,492.38, 71,022.84 and 47,257.12 is: 65,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,492.38 : 71,022.84 = 47,257.12 : x
  2. Step 2: Convert to fraction form
    51,492.38/71,022.84 = 47,257.12/x
  3. Step 3: Cross multiply
    51,492.38x = 71,022.84 × 47,257.12
  4. Step 4: Simplify right side
    51,492.38x = 3,356,334,872.62
  5. Step 5: Solve for x
    x = 3,356,334,872.62/51,492.38
  6. Step 6: Final answer
    x = 65,181.20

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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.