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Finding the Fourth Proportional to 52,381.89, 72,274.38 and 30,872.49

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Solution

The fourth proportional to 52,381.89, 72,274.38 and 30,872.49 is: 42,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,381.89 : 72,274.38 = 30,872.49 : x
  2. Step 2: Convert to fraction form
    52,381.89/72,274.38 = 30,872.49/x
  3. Step 3: Cross multiply
    52,381.89x = 72,274.38 × 30,872.49
  4. Step 4: Simplify right side
    52,381.89x = 2,231,290,073.81
  5. Step 5: Solve for x
    x = 2,231,290,073.81/52,381.89
  6. Step 6: Final answer
    x = 42,596.59

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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.