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Finding the Fourth Proportional to 70,794, 97,694.55 and 38,962.26

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Solution

The fourth proportional to 70,794, 97,694.55 and 38,962.26 is: 53,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794 : 97,694.55 = 38,962.26 : x
  2. Step 2: Convert to fraction form
    70,794/97,694.55 = 38,962.26/x
  3. Step 3: Cross multiply
    70,794x = 97,694.55 × 38,962.26
  4. Step 4: Simplify right side
    70,794x = 3,806,400,457.68
  5. Step 5: Solve for x
    x = 3,806,400,457.68/70,794
  6. Step 6: Final answer
    x = 53,767.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.