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Finding the Fourth Proportional to 49,716, 68,609.16 and 27,360

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Solution

The fourth proportional to 49,716, 68,609.16 and 27,360 is: 37,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716 : 68,609.16 = 27,360 : x
  2. Step 2: Convert to fraction form
    49,716/68,609.16 = 27,360/x
  3. Step 3: Cross multiply
    49,716x = 68,609.16 × 27,360
  4. Step 4: Simplify right side
    49,716x = 1,877,146,617.60
  5. Step 5: Solve for x
    x = 1,877,146,617.60/49,716
  6. Step 6: Final answer
    x = 37,757.39

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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.