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Finding the Fourth Proportional to 33,409.80, 46,107 and 22,089.24

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Solution

The fourth proportional to 33,409.80, 46,107 and 22,089.24 is: 30,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.80 : 46,107 = 22,089.24 : x
  2. Step 2: Convert to fraction form
    33,409.80/46,107 = 22,089.24/x
  3. Step 3: Cross multiply
    33,409.80x = 46,107 × 22,089.24
  4. Step 4: Simplify right side
    33,409.80x = 1,018,468,588.68
  5. Step 5: Solve for x
    x = 1,018,468,588.68/33,409.80
  6. Step 6: Final answer
    x = 30,484.13

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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.