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Finding the Fourth Proportional to 47,955.92, 66,182.76 and 27,812.64

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Solution

The fourth proportional to 47,955.92, 66,182.76 and 27,812.64 is: 38,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,955.92 : 66,182.76 = 27,812.64 : x
  2. Step 2: Convert to fraction form
    47,955.92/66,182.76 = 27,812.64/x
  3. Step 3: Cross multiply
    47,955.92x = 66,182.76 × 27,812.64
  4. Step 4: Simplify right side
    47,955.92x = 1,840,717,278.09
  5. Step 5: Solve for x
    x = 1,840,717,278.09/47,955.92
  6. Step 6: Final answer
    x = 38,383.53

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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.