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Finding the Fourth Proportional to 39,749.85, 54,854.91 and 23,834.28

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Solution

The fourth proportional to 39,749.85, 54,854.91 and 23,834.28 is: 32,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,749.85 : 54,854.91 = 23,834.28 : x
  2. Step 2: Convert to fraction form
    39,749.85/54,854.91 = 23,834.28/x
  3. Step 3: Cross multiply
    39,749.85x = 54,854.91 × 23,834.28
  4. Step 4: Simplify right side
    39,749.85x = 1,307,427,284.31
  5. Step 5: Solve for x
    x = 1,307,427,284.31/39,749.85
  6. Step 6: Final answer
    x = 32,891.38

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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.