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Finding the Fourth Proportional to 47,693.82, 65,829.42 and 27,562.38

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Solution

The fourth proportional to 47,693.82, 65,829.42 and 27,562.38 is: 38,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.82 : 65,829.42 = 27,562.38 : x
  2. Step 2: Convert to fraction form
    47,693.82/65,829.42 = 27,562.38/x
  3. Step 3: Cross multiply
    47,693.82x = 65,829.42 × 27,562.38
  4. Step 4: Simplify right side
    47,693.82x = 1,814,415,489.22
  5. Step 5: Solve for x
    x = 1,814,415,489.22/47,693.82
  6. Step 6: Final answer
    x = 38,042.99

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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.