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Finding the Fourth Proportional to 48,113.25, 66,395.88 and 27,699.31

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Solution

The fourth proportional to 48,113.25, 66,395.88 and 27,699.31 is: 38,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,113.25 : 66,395.88 = 27,699.31 : x
  2. Step 2: Convert to fraction form
    48,113.25/66,395.88 = 27,699.31/x
  3. Step 3: Cross multiply
    48,113.25x = 66,395.88 × 27,699.31
  4. Step 4: Simplify right side
    48,113.25x = 1,839,120,062.84
  5. Step 5: Solve for x
    x = 1,839,120,062.84/48,113.25
  6. Step 6: Final answer
    x = 38,224.81

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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.