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Finding the Fourth Proportional to 48,997.82, 67,617.72 and 27,776.60

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Solution

The fourth proportional to 48,997.82, 67,617.72 and 27,776.60 is: 38,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997.82 : 67,617.72 = 27,776.60 : x
  2. Step 2: Convert to fraction form
    48,997.82/67,617.72 = 27,776.60/x
  3. Step 3: Cross multiply
    48,997.82x = 67,617.72 × 27,776.60
  4. Step 4: Simplify right side
    48,997.82x = 1,878,190,361.35
  5. Step 5: Solve for x
    x = 1,878,190,361.35/48,997.82
  6. Step 6: Final answer
    x = 38,332.12

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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.