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Finding the Fourth Proportional to 70,383.24, 97,128 and 38,550.24

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Solution

The fourth proportional to 70,383.24, 97,128 and 38,550.24 is: 53,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.24 : 97,128 = 38,550.24 : x
  2. Step 2: Convert to fraction form
    70,383.24/97,128 = 38,550.24/x
  3. Step 3: Cross multiply
    70,383.24x = 97,128 × 38,550.24
  4. Step 4: Simplify right side
    70,383.24x = 3,744,307,710.72
  5. Step 5: Solve for x
    x = 3,744,307,710.72/70,383.24
  6. Step 6: Final answer
    x = 53,198.85

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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.