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Finding the Fourth Proportional to 54,702.19, 82,207.19 and 32,519.53

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Solution

The fourth proportional to 54,702.19, 82,207.19 and 32,519.53 is: 48,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.19 : 82,207.19 = 32,519.53 : x
  2. Step 2: Convert to fraction form
    54,702.19/82,207.19 = 32,519.53/x
  3. Step 3: Cross multiply
    54,702.19x = 82,207.19 × 32,519.53
  4. Step 4: Simplify right side
    54,702.19x = 2,673,339,181.42
  5. Step 5: Solve for x
    x = 2,673,339,181.42/54,702.19
  6. Step 6: Final answer
    x = 48,870.79

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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.