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Finding the Fourth Proportional to 49,037.96, 67,684.48 and 27,830

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Solution

The fourth proportional to 49,037.96, 67,684.48 and 27,830 is: 38,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037.96 : 67,684.48 = 27,830 : x
  2. Step 2: Convert to fraction form
    49,037.96/67,684.48 = 27,830/x
  3. Step 3: Cross multiply
    49,037.96x = 67,684.48 × 27,830
  4. Step 4: Simplify right side
    49,037.96x = 1,883,659,078.40
  5. Step 5: Solve for x
    x = 1,883,659,078.40/49,037.96
  6. Step 6: Final answer
    x = 38,412.26

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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.