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Finding the Fourth Proportional to 33,209.68, 45,828.78 and 18,102.54

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Solution

The fourth proportional to 33,209.68, 45,828.78 and 18,102.54 is: 24,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.68 : 45,828.78 = 18,102.54 : x
  2. Step 2: Convert to fraction form
    33,209.68/45,828.78 = 18,102.54/x
  3. Step 3: Cross multiply
    33,209.68x = 45,828.78 × 18,102.54
  4. Step 4: Simplify right side
    33,209.68x = 829,617,323.10
  5. Step 5: Solve for x
    x = 829,617,323.10/33,209.68
  6. Step 6: Final answer
    x = 24,981.19

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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.