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Finding the Fourth Proportional to 38,321.86, 52,869.16 and 28,274.42

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Solution

The fourth proportional to 38,321.86, 52,869.16 and 28,274.42 is: 39,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321.86 : 52,869.16 = 28,274.42 : x
  2. Step 2: Convert to fraction form
    38,321.86/52,869.16 = 28,274.42/x
  3. Step 3: Cross multiply
    38,321.86x = 52,869.16 × 28,274.42
  4. Step 4: Simplify right side
    38,321.86x = 1,494,844,834.89
  5. Step 5: Solve for x
    x = 1,494,844,834.89/38,321.86
  6. Step 6: Final answer
    x = 39,007.63

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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.