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Finding the Fourth Proportional to 38,122.16, 52,611 and 21,357.68

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Solution

The fourth proportional to 38,122.16, 52,611 and 21,357.68 is: 29,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,122.16 : 52,611 = 21,357.68 : x
  2. Step 2: Convert to fraction form
    38,122.16/52,611 = 21,357.68/x
  3. Step 3: Cross multiply
    38,122.16x = 52,611 × 21,357.68
  4. Step 4: Simplify right side
    38,122.16x = 1,123,648,902.48
  5. Step 5: Solve for x
    x = 1,123,648,902.48/38,122.16
  6. Step 6: Final answer
    x = 29,474.95

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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.