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Finding the Fourth Proportional to 52,056, 71,847 and 29,700

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Solution

The fourth proportional to 52,056, 71,847 and 29,700 is: 40,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056 : 71,847 = 29,700 : x
  2. Step 2: Convert to fraction form
    52,056/71,847 = 29,700/x
  3. Step 3: Cross multiply
    52,056x = 71,847 × 29,700
  4. Step 4: Simplify right side
    52,056x = 2,133,855,900
  5. Step 5: Solve for x
    x = 2,133,855,900/52,056
  6. Step 6: Final answer
    x = 40,991.55

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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.