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Finding the Fourth Proportional to 47,963.58, 66,203.61 and 27,824.94

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Solution

The fourth proportional to 47,963.58, 66,203.61 and 27,824.94 is: 38,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.58 : 66,203.61 = 27,824.94 : x
  2. Step 2: Convert to fraction form
    47,963.58/66,203.61 = 27,824.94/x
  3. Step 3: Cross multiply
    47,963.58x = 66,203.61 × 27,824.94
  4. Step 4: Simplify right side
    47,963.58x = 1,842,111,476.03
  5. Step 5: Solve for x
    x = 1,842,111,476.03/47,963.58
  6. Step 6: Final answer
    x = 38,406.46

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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.