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Finding the Fourth Proportional to 47,673.60, 65,785.92 and 27,521.28

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Solution

The fourth proportional to 47,673.60, 65,785.92 and 27,521.28 is: 37,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673.60 : 65,785.92 = 27,521.28 : x
  2. Step 2: Convert to fraction form
    47,673.60/65,785.92 = 27,521.28/x
  3. Step 3: Cross multiply
    47,673.60x = 65,785.92 × 27,521.28
  4. Step 4: Simplify right side
    47,673.60x = 1,810,512,724.38
  5. Step 5: Solve for x
    x = 1,810,512,724.38/47,673.60
  6. Step 6: Final answer
    x = 37,977.26

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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.