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Finding the Fourth Proportional to 51,894.02, 77,851.97 and 16,830.95

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Solution

The fourth proportional to 51,894.02, 77,851.97 and 16,830.95 is: 25,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.02 : 77,851.97 = 16,830.95 : x
  2. Step 2: Convert to fraction form
    51,894.02/77,851.97 = 16,830.95/x
  3. Step 3: Cross multiply
    51,894.02x = 77,851.97 × 16,830.95
  4. Step 4: Simplify right side
    51,894.02x = 1,310,322,141.06
  5. Step 5: Solve for x
    x = 1,310,322,141.06/51,894.02
  6. Step 6: Final answer
    x = 25,249.97

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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.