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Finding the Fourth Proportional to 32,853.84, 45,338.44 and 17,950.16

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Solution

The fourth proportional to 32,853.84, 45,338.44 and 17,950.16 is: 24,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.84 : 45,338.44 = 17,950.16 : x
  2. Step 2: Convert to fraction form
    32,853.84/45,338.44 = 17,950.16/x
  3. Step 3: Cross multiply
    32,853.84x = 45,338.44 × 17,950.16
  4. Step 4: Simplify right side
    32,853.84x = 813,832,252.15
  5. Step 5: Solve for x
    x = 813,832,252.15/32,853.84
  6. Step 6: Final answer
    x = 24,771.30

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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.