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Finding the Fourth Proportional to 26,578.50, 39,885.03 and 10,162.50

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Solution

The fourth proportional to 26,578.50, 39,885.03 and 10,162.50 is: 15,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.50 : 39,885.03 = 10,162.50 : x
  2. Step 2: Convert to fraction form
    26,578.50/39,885.03 = 10,162.50/x
  3. Step 3: Cross multiply
    26,578.50x = 39,885.03 × 10,162.50
  4. Step 4: Simplify right side
    26,578.50x = 405,331,617.38
  5. Step 5: Solve for x
    x = 405,331,617.38/26,578.50
  6. Step 6: Final answer
    x = 15,250.36

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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.