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Finding the Fourth Proportional to 47,725.72, 65,858.16 and 27,566.80

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Solution

The fourth proportional to 47,725.72, 65,858.16 and 27,566.80 is: 38,040.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,725.72 : 65,858.16 = 27,566.80 : x
  2. Step 2: Convert to fraction form
    47,725.72/65,858.16 = 27,566.80/x
  3. Step 3: Cross multiply
    47,725.72x = 65,858.16 × 27,566.80
  4. Step 4: Simplify right side
    47,725.72x = 1,815,498,663.82
  5. Step 5: Solve for x
    x = 1,815,498,663.82/47,725.72
  6. Step 6: Final answer
    x = 38,040.26

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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.