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Finding the Fourth Proportional to 66,782.66, 100,224.77 and 24,702.54

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Solution

The fourth proportional to 66,782.66, 100,224.77 and 24,702.54 is: 37,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.66 : 100,224.77 = 24,702.54 : x
  2. Step 2: Convert to fraction form
    66,782.66/100,224.77 = 24,702.54/x
  3. Step 3: Cross multiply
    66,782.66x = 100,224.77 × 24,702.54
  4. Step 4: Simplify right side
    66,782.66x = 2,475,806,266.40
  5. Step 5: Solve for x
    x = 2,475,806,266.40/66,782.66
  6. Step 6: Final answer
    x = 37,072.59

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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.