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Finding the Fourth Proportional to 70,785.36, 106,196.49 and 26,412.48

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Solution

The fourth proportional to 70,785.36, 106,196.49 and 26,412.48 is: 39,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,785.36 : 106,196.49 = 26,412.48 : x
  2. Step 2: Convert to fraction form
    70,785.36/106,196.49 = 26,412.48/x
  3. Step 3: Cross multiply
    70,785.36x = 106,196.49 × 26,412.48
  4. Step 4: Simplify right side
    70,785.36x = 2,804,912,668.20
  5. Step 5: Solve for x
    x = 2,804,912,668.20/70,785.36
  6. Step 6: Final answer
    x = 39,625.60

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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.