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Finding the Fourth Proportional to 47,708.36, 65,845.68 and 27,565.84

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Solution

The fourth proportional to 47,708.36, 65,845.68 and 27,565.84 is: 38,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708.36 : 65,845.68 = 27,565.84 : x
  2. Step 2: Convert to fraction form
    47,708.36/65,845.68 = 27,565.84/x
  3. Step 3: Cross multiply
    47,708.36x = 65,845.68 × 27,565.84
  4. Step 4: Simplify right side
    47,708.36x = 1,815,091,479.57
  5. Step 5: Solve for x
    x = 1,815,091,479.57/47,708.36
  6. Step 6: Final answer
    x = 38,045.56

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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.