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Finding the Fourth Proportional to 33,807.15, 46,659.38 and 22,476.87

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Solution

The fourth proportional to 33,807.15, 46,659.38 and 22,476.87 is: 31,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807.15 : 46,659.38 = 22,476.87 : x
  2. Step 2: Convert to fraction form
    33,807.15/46,659.38 = 22,476.87/x
  3. Step 3: Cross multiply
    33,807.15x = 46,659.38 × 22,476.87
  4. Step 4: Simplify right side
    33,807.15x = 1,048,756,706.16
  5. Step 5: Solve for x
    x = 1,048,756,706.16/33,807.15
  6. Step 6: Final answer
    x = 31,021.74

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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.