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Finding the Fourth Proportional to 66,782.53, 100,224.57 and 24,702.42

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Solution

The fourth proportional to 66,782.53, 100,224.57 and 24,702.42 is: 37,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.53 : 100,224.57 = 24,702.42 : x
  2. Step 2: Convert to fraction form
    66,782.53/100,224.57 = 24,702.42/x
  3. Step 3: Cross multiply
    66,782.53x = 100,224.57 × 24,702.42
  4. Step 4: Simplify right side
    66,782.53x = 2,475,789,422.46
  5. Step 5: Solve for x
    x = 2,475,789,422.46/66,782.53
  6. Step 6: Final answer
    x = 37,072.41

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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.