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Finding the Fourth Proportional to 33,232.84, 49,767.22 and 25,775.16

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Solution

The fourth proportional to 33,232.84, 49,767.22 and 25,775.16 is: 38,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.84 : 49,767.22 = 25,775.16 : x
  2. Step 2: Convert to fraction form
    33,232.84/49,767.22 = 25,775.16/x
  3. Step 3: Cross multiply
    33,232.84x = 49,767.22 × 25,775.16
  4. Step 4: Simplify right side
    33,232.84x = 1,282,758,058.26
  5. Step 5: Solve for x
    x = 1,282,758,058.26/33,232.84
  6. Step 6: Final answer
    x = 38,599.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.