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Finding the Fourth Proportional to 47,984.72, 66,197.51 and 27,829.92

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Solution

The fourth proportional to 47,984.72, 66,197.51 and 27,829.92 is: 38,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984.72 : 66,197.51 = 27,829.92 : x
  2. Step 2: Convert to fraction form
    47,984.72/66,197.51 = 27,829.92/x
  3. Step 3: Cross multiply
    47,984.72x = 66,197.51 × 27,829.92
  4. Step 4: Simplify right side
    47,984.72x = 1,842,271,268.35
  5. Step 5: Solve for x
    x = 1,842,271,268.35/47,984.72
  6. Step 6: Final answer
    x = 38,392.88

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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.