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Finding the Fourth Proportional to 33,187.84, 45,800.32 and 18,284.16

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Solution

The fourth proportional to 33,187.84, 45,800.32 and 18,284.16 is: 25,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.84 : 45,800.32 = 18,284.16 : x
  2. Step 2: Convert to fraction form
    33,187.84/45,800.32 = 18,284.16/x
  3. Step 3: Cross multiply
    33,187.84x = 45,800.32 × 18,284.16
  4. Step 4: Simplify right side
    33,187.84x = 837,420,378.93
  5. Step 5: Solve for x
    x = 837,420,378.93/33,187.84
  6. Step 6: Final answer
    x = 25,232.75

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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.