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Finding the Fourth Proportional to 71,184.64, 106,740.56 and 23,782.63

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Solution

The fourth proportional to 71,184.64, 106,740.56 and 23,782.63 is: 35,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.64 : 106,740.56 = 23,782.63 : x
  2. Step 2: Convert to fraction form
    71,184.64/106,740.56 = 23,782.63/x
  3. Step 3: Cross multiply
    71,184.64x = 106,740.56 × 23,782.63
  4. Step 4: Simplify right side
    71,184.64x = 2,538,571,170.33
  5. Step 5: Solve for x
    x = 2,538,571,170.33/71,184.64
  6. Step 6: Final answer
    x = 35,661.78

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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.