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Finding the Fourth Proportional to 51,082.47, 70,467.32 and 29,849.43

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Solution

The fourth proportional to 51,082.47, 70,467.32 and 29,849.43 is: 41,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082.47 : 70,467.32 = 29,849.43 : x
  2. Step 2: Convert to fraction form
    51,082.47/70,467.32 = 29,849.43/x
  3. Step 3: Cross multiply
    51,082.47x = 70,467.32 × 29,849.43
  4. Step 4: Simplify right side
    51,082.47x = 2,103,409,186.38
  5. Step 5: Solve for x
    x = 2,103,409,186.38/51,082.47
  6. Step 6: Final answer
    x = 41,176.73

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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.