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Finding the Fourth Proportional to 69,730.24, 96,227.28 and 39,928

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Solution

The fourth proportional to 69,730.24, 96,227.28 and 39,928 is: 55,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,730.24 : 96,227.28 = 39,928 : x
  2. Step 2: Convert to fraction form
    69,730.24/96,227.28 = 39,928/x
  3. Step 3: Cross multiply
    69,730.24x = 96,227.28 × 39,928
  4. Step 4: Simplify right side
    69,730.24x = 3,842,162,835.84
  5. Step 5: Solve for x
    x = 3,842,162,835.84/69,730.24
  6. Step 6: Final answer
    x = 55,100.38

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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.