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Finding the Fourth Proportional to 33,101.58, 49,664.61 and 15,340.71

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Solution

The fourth proportional to 33,101.58, 49,664.61 and 15,340.71 is: 23,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.58 : 49,664.61 = 15,340.71 : x
  2. Step 2: Convert to fraction form
    33,101.58/49,664.61 = 15,340.71/x
  3. Step 3: Cross multiply
    33,101.58x = 49,664.61 × 15,340.71
  4. Step 4: Simplify right side
    33,101.58x = 761,890,379.27
  5. Step 5: Solve for x
    x = 761,890,379.27/33,101.58
  6. Step 6: Final answer
    x = 23,016.74

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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.