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Finding the Fourth Proportional to 51,582.84, 77,375.31 and 16,522.38

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Solution

The fourth proportional to 51,582.84, 77,375.31 and 16,522.38 is: 24,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,582.84 : 77,375.31 = 16,522.38 : x
  2. Step 2: Convert to fraction form
    51,582.84/77,375.31 = 16,522.38/x
  3. Step 3: Cross multiply
    51,582.84x = 77,375.31 × 16,522.38
  4. Step 4: Simplify right side
    51,582.84x = 1,278,424,274.44
  5. Step 5: Solve for x
    x = 1,278,424,274.44/51,582.84
  6. Step 6: Final answer
    x = 24,783.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.