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Finding the Fourth Proportional to 47,687.78, 65,575.80 and 41,389.22

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Solution

The fourth proportional to 47,687.78, 65,575.80 and 41,389.22 is: 56,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.78 : 65,575.80 = 41,389.22 : x
  2. Step 2: Convert to fraction form
    47,687.78/65,575.80 = 41,389.22/x
  3. Step 3: Cross multiply
    47,687.78x = 65,575.80 × 41,389.22
  4. Step 4: Simplify right side
    47,687.78x = 2,714,131,212.88
  5. Step 5: Solve for x
    x = 2,714,131,212.88/47,687.78
  6. Step 6: Final answer
    x = 56,914.61

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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.