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Finding the Fourth Proportional to 39,743.91, 54,830.88 and 25,605

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Solution

The fourth proportional to 39,743.91, 54,830.88 and 25,605 is: 35,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,743.91 : 54,830.88 = 25,605 : x
  2. Step 2: Convert to fraction form
    39,743.91/54,830.88 = 25,605/x
  3. Step 3: Cross multiply
    39,743.91x = 54,830.88 × 25,605
  4. Step 4: Simplify right side
    39,743.91x = 1,403,944,682.40
  5. Step 5: Solve for x
    x = 1,403,944,682.40/39,743.91
  6. Step 6: Final answer
    x = 35,324.78

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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.