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Finding the Fourth Proportional to 51,522, 71,100.36 and 29,166

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Solution

The fourth proportional to 51,522, 71,100.36 and 29,166 is: 40,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,522 : 71,100.36 = 29,166 : x
  2. Step 2: Convert to fraction form
    51,522/71,100.36 = 29,166/x
  3. Step 3: Cross multiply
    51,522x = 71,100.36 × 29,166
  4. Step 4: Simplify right side
    51,522x = 2,073,713,099.76
  5. Step 5: Solve for x
    x = 2,073,713,099.76/51,522
  6. Step 6: Final answer
    x = 40,249.08

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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.