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Finding the Fourth Proportional to 51,184.68, 76,766.14 and 21,591.08

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Solution

The fourth proportional to 51,184.68, 76,766.14 and 21,591.08 is: 32,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,184.68 : 76,766.14 = 21,591.08 : x
  2. Step 2: Convert to fraction form
    51,184.68/76,766.14 = 21,591.08/x
  3. Step 3: Cross multiply
    51,184.68x = 76,766.14 × 21,591.08
  4. Step 4: Simplify right side
    51,184.68x = 1,657,463,870.03
  5. Step 5: Solve for x
    x = 1,657,463,870.03/51,184.68
  6. Step 6: Final answer
    x = 32,382.03

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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.