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Finding the Fourth Proportional to 26,981.70, 40,478.01 and 10,342.27

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Solution

The fourth proportional to 26,981.70, 40,478.01 and 10,342.27 is: 15,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,981.70 : 40,478.01 = 10,342.27 : x
  2. Step 2: Convert to fraction form
    26,981.70/40,478.01 = 10,342.27/x
  3. Step 3: Cross multiply
    26,981.70x = 40,478.01 × 10,342.27
  4. Step 4: Simplify right side
    26,981.70x = 418,634,508.48
  5. Step 5: Solve for x
    x = 418,634,508.48/26,981.70
  6. Step 6: Final answer
    x = 15,515.50

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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.