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Finding the Fourth Proportional to 51,850, 77,788.56 and 16,309.84

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Solution

The fourth proportional to 51,850, 77,788.56 and 16,309.84 is: 24,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,850 : 77,788.56 = 16,309.84 : x
  2. Step 2: Convert to fraction form
    51,850/77,788.56 = 16,309.84/x
  3. Step 3: Cross multiply
    51,850x = 77,788.56 × 16,309.84
  4. Step 4: Simplify right side
    51,850x = 1,268,718,967.43
  5. Step 5: Solve for x
    x = 1,268,718,967.43/51,850
  6. Step 6: Final answer
    x = 24,469.03

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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.