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Finding the Fourth Proportional to 54,716.60, 82,017.30 and 21,423.80

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Solution

The fourth proportional to 54,716.60, 82,017.30 and 21,423.80 is: 32,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.60 : 82,017.30 = 21,423.80 : x
  2. Step 2: Convert to fraction form
    54,716.60/82,017.30 = 21,423.80/x
  3. Step 3: Cross multiply
    54,716.60x = 82,017.30 × 21,423.80
  4. Step 4: Simplify right side
    54,716.60x = 1,757,122,231.74
  5. Step 5: Solve for x
    x = 1,757,122,231.74/54,716.60
  6. Step 6: Final answer
    x = 32,113.15

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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.