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Finding the Fourth Proportional to 54,951.24, 82,435.08 and 19,899.06

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Solution

The fourth proportional to 54,951.24, 82,435.08 and 19,899.06 is: 29,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.24 : 82,435.08 = 19,899.06 : x
  2. Step 2: Convert to fraction form
    54,951.24/82,435.08 = 19,899.06/x
  3. Step 3: Cross multiply
    54,951.24x = 82,435.08 × 19,899.06
  4. Step 4: Simplify right side
    54,951.24x = 1,640,380,603.02
  5. Step 5: Solve for x
    x = 1,640,380,603.02/54,951.24
  6. Step 6: Final answer
    x = 29,851.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.