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Finding the Fourth Proportional to 70,824.70, 106,143.16 and 26,406.73

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Solution

The fourth proportional to 70,824.70, 106,143.16 and 26,406.73 is: 39,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824.70 : 106,143.16 = 26,406.73 : x
  2. Step 2: Convert to fraction form
    70,824.70/106,143.16 = 26,406.73/x
  3. Step 3: Cross multiply
    70,824.70x = 106,143.16 × 26,406.73
  4. Step 4: Simplify right side
    70,824.70x = 2,802,893,767.47
  5. Step 5: Solve for x
    x = 2,802,893,767.47/70,824.70
  6. Step 6: Final answer
    x = 39,575.09

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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.