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Finding the Fourth Proportional to 66,825.63, 92,184.38 and 41,323.86

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Solution

The fourth proportional to 66,825.63, 92,184.38 and 41,323.86 is: 57,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825.63 : 92,184.38 = 41,323.86 : x
  2. Step 2: Convert to fraction form
    66,825.63/92,184.38 = 41,323.86/x
  3. Step 3: Cross multiply
    66,825.63x = 92,184.38 × 41,323.86
  4. Step 4: Simplify right side
    66,825.63x = 3,809,414,206.69
  5. Step 5: Solve for x
    x = 3,809,414,206.69/66,825.63
  6. Step 6: Final answer
    x = 57,005.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.