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Finding the Fourth Proportional to 57,382.84, 79,187.76 and 31,889.26

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Solution

The fourth proportional to 57,382.84, 79,187.76 and 31,889.26 is: 44,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382.84 : 79,187.76 = 31,889.26 : x
  2. Step 2: Convert to fraction form
    57,382.84/79,187.76 = 31,889.26/x
  3. Step 3: Cross multiply
    57,382.84x = 79,187.76 × 31,889.26
  4. Step 4: Simplify right side
    57,382.84x = 2,525,239,067.46
  5. Step 5: Solve for x
    x = 2,525,239,067.46/57,382.84
  6. Step 6: Final answer
    x = 44,006.87

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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.