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Finding the Fourth Proportional to 54,853.57, 82,280.36 and 13,300.57

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Solution

The fourth proportional to 54,853.57, 82,280.36 and 13,300.57 is: 19,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853.57 : 82,280.36 = 13,300.57 : x
  2. Step 2: Convert to fraction form
    54,853.57/82,280.36 = 13,300.57/x
  3. Step 3: Cross multiply
    54,853.57x = 82,280.36 × 13,300.57
  4. Step 4: Simplify right side
    54,853.57x = 1,094,375,687.81
  5. Step 5: Solve for x
    x = 1,094,375,687.81/54,853.57
  6. Step 6: Final answer
    x = 19,950.86

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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.