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Finding the Fourth Proportional to 47,703.08, 65,832.46 and 27,562.62

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Solution

The fourth proportional to 47,703.08, 65,832.46 and 27,562.62 is: 38,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.08 : 65,832.46 = 27,562.62 : x
  2. Step 2: Convert to fraction form
    47,703.08/65,832.46 = 27,562.62/x
  3. Step 3: Cross multiply
    47,703.08x = 65,832.46 × 27,562.62
  4. Step 4: Simplify right side
    47,703.08x = 1,814,515,078.65
  5. Step 5: Solve for x
    x = 1,814,515,078.65/47,703.08
  6. Step 6: Final answer
    x = 38,037.69

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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.