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Finding the Fourth Proportional to 51,894, 77,845.86 and 16,824.24

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Solution

The fourth proportional to 51,894, 77,845.86 and 16,824.24 is: 25,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894 : 77,845.86 = 16,824.24 : x
  2. Step 2: Convert to fraction form
    51,894/77,845.86 = 16,824.24/x
  3. Step 3: Cross multiply
    51,894x = 77,845.86 × 16,824.24
  4. Step 4: Simplify right side
    51,894x = 1,309,697,431.65
  5. Step 5: Solve for x
    x = 1,309,697,431.65/51,894
  6. Step 6: Final answer
    x = 25,237.94

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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.