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Finding the Fourth Proportional to 38,098.72, 52,571.74 and 21,965.85

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Solution

The fourth proportional to 38,098.72, 52,571.74 and 21,965.85 is: 30,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.72 : 52,571.74 = 21,965.85 : x
  2. Step 2: Convert to fraction form
    38,098.72/52,571.74 = 21,965.85/x
  3. Step 3: Cross multiply
    38,098.72x = 52,571.74 × 21,965.85
  4. Step 4: Simplify right side
    38,098.72x = 1,154,782,768.74
  5. Step 5: Solve for x
    x = 1,154,782,768.74/38,098.72
  6. Step 6: Final answer
    x = 30,310.28

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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.