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Finding the Fourth Proportional to 70,795.26, 106,211.35 and 26,422.38

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Solution

The fourth proportional to 70,795.26, 106,211.35 and 26,422.38 is: 39,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,795.26 : 106,211.35 = 26,422.38 : x
  2. Step 2: Convert to fraction form
    70,795.26/106,211.35 = 26,422.38/x
  3. Step 3: Cross multiply
    70,795.26x = 106,211.35 × 26,422.38
  4. Step 4: Simplify right side
    70,795.26x = 2,806,356,650.01
  5. Step 5: Solve for x
    x = 2,806,356,650.01/70,795.26
  6. Step 6: Final answer
    x = 39,640.46

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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.