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Finding the Fourth Proportional to 47,687.06, 65,820.09 and 27,555.63

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Solution

The fourth proportional to 47,687.06, 65,820.09 and 27,555.63 is: 38,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.06 : 65,820.09 = 27,555.63 : x
  2. Step 2: Convert to fraction form
    47,687.06/65,820.09 = 27,555.63/x
  3. Step 3: Cross multiply
    47,687.06x = 65,820.09 × 27,555.63
  4. Step 4: Simplify right side
    47,687.06x = 1,813,714,046.61
  5. Step 5: Solve for x
    x = 1,813,714,046.61/47,687.06
  6. Step 6: Final answer
    x = 38,033.68

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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.