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Finding the Fourth Proportional to 66,782.75, 100,182.02 and 41,824.86

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Solution

The fourth proportional to 66,782.75, 100,182.02 and 41,824.86 is: 62,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.75 : 100,182.02 = 41,824.86 : x
  2. Step 2: Convert to fraction form
    66,782.75/100,182.02 = 41,824.86/x
  3. Step 3: Cross multiply
    66,782.75x = 100,182.02 × 41,824.86
  4. Step 4: Simplify right side
    66,782.75x = 4,190,098,751.89
  5. Step 5: Solve for x
    x = 4,190,098,751.89/66,782.75
  6. Step 6: Final answer
    x = 62,742.24

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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.