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Finding the Fourth Proportional to 49,941, 68,918.58 and 27,585

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Solution

The fourth proportional to 49,941, 68,918.58 and 27,585 is: 38,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,941 : 68,918.58 = 27,585 : x
  2. Step 2: Convert to fraction form
    49,941/68,918.58 = 27,585/x
  3. Step 3: Cross multiply
    49,941x = 68,918.58 × 27,585
  4. Step 4: Simplify right side
    49,941x = 1,901,119,029.30
  5. Step 5: Solve for x
    x = 1,901,119,029.30/49,941
  6. Step 6: Final answer
    x = 38,067.30

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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.