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Finding the Fourth Proportional to 52,392.69, 72,299.74 and 29,731.22

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Solution

The fourth proportional to 52,392.69, 72,299.74 and 29,731.22 is: 41,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392.69 : 72,299.74 = 29,731.22 : x
  2. Step 2: Convert to fraction form
    52,392.69/72,299.74 = 29,731.22/x
  3. Step 3: Cross multiply
    52,392.69x = 72,299.74 × 29,731.22
  4. Step 4: Simplify right side
    52,392.69x = 2,149,558,965.73
  5. Step 5: Solve for x
    x = 2,149,558,965.73/52,392.69
  6. Step 6: Final answer
    x = 41,027.85

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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.