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Finding the Fourth Proportional to 34,026, 51,060.90 and 13,249.50

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Solution

The fourth proportional to 34,026, 51,060.90 and 13,249.50 is: 19,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026 : 51,060.90 = 13,249.50 : x
  2. Step 2: Convert to fraction form
    34,026/51,060.90 = 13,249.50/x
  3. Step 3: Cross multiply
    34,026x = 51,060.90 × 13,249.50
  4. Step 4: Simplify right side
    34,026x = 676,531,394.55
  5. Step 5: Solve for x
    x = 676,531,394.55/34,026
  6. Step 6: Final answer
    x = 19,882.78

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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.