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Finding the Fourth Proportional to 33,497.01, 46,228.21 and 22,146.77

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Solution

The fourth proportional to 33,497.01, 46,228.21 and 22,146.77 is: 30,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.01 : 46,228.21 = 22,146.77 : x
  2. Step 2: Convert to fraction form
    33,497.01/46,228.21 = 22,146.77/x
  3. Step 3: Cross multiply
    33,497.01x = 46,228.21 × 22,146.77
  4. Step 4: Simplify right side
    33,497.01x = 1,023,805,594.59
  5. Step 5: Solve for x
    x = 1,023,805,594.59/33,497.01
  6. Step 6: Final answer
    x = 30,564.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.