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Finding the Fourth Proportional to 51,185.60, 76,843.20 and 47,697.20

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Solution

The fourth proportional to 51,185.60, 76,843.20 and 47,697.20 is: 71,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,185.60 : 76,843.20 = 47,697.20 : x
  2. Step 2: Convert to fraction form
    51,185.60/76,843.20 = 47,697.20/x
  3. Step 3: Cross multiply
    51,185.60x = 76,843.20 × 47,697.20
  4. Step 4: Simplify right side
    51,185.60x = 3,665,205,479.04
  5. Step 5: Solve for x
    x = 3,665,205,479.04/51,185.60
  6. Step 6: Final answer
    x = 71,606.18

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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.