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Finding the Fourth Proportional to 51,847, 71,549.02 and 29,186.34

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Solution

The fourth proportional to 51,847, 71,549.02 and 29,186.34 is: 40,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847 : 71,549.02 = 29,186.34 : x
  2. Step 2: Convert to fraction form
    51,847/71,549.02 = 29,186.34/x
  3. Step 3: Cross multiply
    51,847x = 71,549.02 × 29,186.34
  4. Step 4: Simplify right side
    51,847x = 2,088,254,024.39
  5. Step 5: Solve for x
    x = 2,088,254,024.39/51,847
  6. Step 6: Final answer
    x = 40,277.24

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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.