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Finding the Fourth Proportional to 34,268, 51,402.90 and 10,894.44

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Solution

The fourth proportional to 34,268, 51,402.90 and 10,894.44 is: 16,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,268 : 51,402.90 = 10,894.44 : x
  2. Step 2: Convert to fraction form
    34,268/51,402.90 = 10,894.44/x
  3. Step 3: Cross multiply
    34,268x = 51,402.90 × 10,894.44
  4. Step 4: Simplify right side
    34,268x = 560,005,809.88
  5. Step 5: Solve for x
    x = 560,005,809.88/34,268
  6. Step 6: Final answer
    x = 16,341.95

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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.