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Finding the Fourth Proportional to 47,701.68, 65,836.71 and 27,559.32

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Solution

The fourth proportional to 47,701.68, 65,836.71 and 27,559.32 is: 38,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.68 : 65,836.71 = 27,559.32 : x
  2. Step 2: Convert to fraction form
    47,701.68/65,836.71 = 27,559.32/x
  3. Step 3: Cross multiply
    47,701.68x = 65,836.71 × 27,559.32
  4. Step 4: Simplify right side
    47,701.68x = 1,814,414,958.64
  5. Step 5: Solve for x
    x = 1,814,414,958.64/47,701.68
  6. Step 6: Final answer
    x = 38,036.71

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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.