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Finding the Fourth Proportional to 51,582.71, 77,375.90 and 16,517.81

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Solution

The fourth proportional to 51,582.71, 77,375.90 and 16,517.81 is: 24,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,582.71 : 77,375.90 = 16,517.81 : x
  2. Step 2: Convert to fraction form
    51,582.71/77,375.90 = 16,517.81/x
  3. Step 3: Cross multiply
    51,582.71x = 77,375.90 × 16,517.81
  4. Step 4: Simplify right side
    51,582.71x = 1,278,080,649.51
  5. Step 5: Solve for x
    x = 1,278,080,649.51/51,582.71
  6. Step 6: Final answer
    x = 24,777.31

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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.