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Finding the Fourth Proportional to 92,202.71, 138,216.57 and 33,007.91

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Solution

The fourth proportional to 92,202.71, 138,216.57 and 33,007.91 is: 49,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202.71 : 138,216.57 = 33,007.91 : x
  2. Step 2: Convert to fraction form
    92,202.71/138,216.57 = 33,007.91/x
  3. Step 3: Cross multiply
    92,202.71x = 138,216.57 × 33,007.91
  4. Step 4: Simplify right side
    92,202.71x = 4,562,240,103.07
  5. Step 5: Solve for x
    x = 4,562,240,103.07/92,202.71
  6. Step 6: Final answer
    x = 49,480.54

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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.