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Finding the Fourth Proportional to 32,883.98, 49,325.94 and 11,824.08

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Solution

The fourth proportional to 32,883.98, 49,325.94 and 11,824.08 is: 17,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.98 : 49,325.94 = 11,824.08 : x
  2. Step 2: Convert to fraction form
    32,883.98/49,325.94 = 11,824.08/x
  3. Step 3: Cross multiply
    32,883.98x = 49,325.94 × 11,824.08
  4. Step 4: Simplify right side
    32,883.98x = 583,233,642.41
  5. Step 5: Solve for x
    x = 583,233,642.41/32,883.98
  6. Step 6: Final answer
    x = 17,736.11

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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.