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Finding the Fourth Proportional to 47,693.46, 65,819.96 and 27,551.19

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Solution

The fourth proportional to 47,693.46, 65,819.96 and 27,551.19 is: 38,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.46 : 65,819.96 = 27,551.19 : x
  2. Step 2: Convert to fraction form
    47,693.46/65,819.96 = 27,551.19/x
  3. Step 3: Cross multiply
    47,693.46x = 65,819.96 × 27,551.19
  4. Step 4: Simplify right side
    47,693.46x = 1,813,418,223.75
  5. Step 5: Solve for x
    x = 1,813,418,223.75/47,693.46
  6. Step 6: Final answer
    x = 38,022.37

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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.