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Finding the Fourth Proportional to 57,354.25, 79,161.52 and 31,869.38

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Solution

The fourth proportional to 57,354.25, 79,161.52 and 31,869.38 is: 43,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.25 : 79,161.52 = 31,869.38 : x
  2. Step 2: Convert to fraction form
    57,354.25/79,161.52 = 31,869.38/x
  3. Step 3: Cross multiply
    57,354.25x = 79,161.52 × 31,869.38
  4. Step 4: Simplify right side
    57,354.25x = 2,522,828,206.29
  5. Step 5: Solve for x
    x = 2,522,828,206.29/57,354.25
  6. Step 6: Final answer
    x = 43,986.77

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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.