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Finding the Fourth Proportional to 51,594.68, 77,367.86 and 18,314

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Solution

The fourth proportional to 51,594.68, 77,367.86 and 18,314 is: 27,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,594.68 : 77,367.86 = 18,314 : x
  2. Step 2: Convert to fraction form
    51,594.68/77,367.86 = 18,314/x
  3. Step 3: Cross multiply
    51,594.68x = 77,367.86 × 18,314
  4. Step 4: Simplify right side
    51,594.68x = 1,416,914,896.47
  5. Step 5: Solve for x
    x = 1,416,914,896.47/51,594.68
  6. Step 6: Final answer
    x = 27,462.43

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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.