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Finding the Fourth Proportional to 47,698.26, 65,826.66 and 27,555.98

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Solution

The fourth proportional to 47,698.26, 65,826.66 and 27,555.98 is: 38,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.26 : 65,826.66 = 27,555.98 : x
  2. Step 2: Convert to fraction form
    47,698.26/65,826.66 = 27,555.98/x
  3. Step 3: Cross multiply
    47,698.26x = 65,826.66 × 27,555.98
  4. Step 4: Simplify right side
    47,698.26x = 1,813,918,126.43
  5. Step 5: Solve for x
    x = 1,813,918,126.43/47,698.26
  6. Step 6: Final answer
    x = 38,029.02

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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.