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Finding the Fourth Proportional to 47,684.87, 65,813.27 and 27,538.14

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Solution

The fourth proportional to 47,684.87, 65,813.27 and 27,538.14 is: 38,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.87 : 65,813.27 = 27,538.14 : x
  2. Step 2: Convert to fraction form
    47,684.87/65,813.27 = 27,538.14/x
  3. Step 3: Cross multiply
    47,684.87x = 65,813.27 × 27,538.14
  4. Step 4: Simplify right side
    47,684.87x = 1,812,374,905.43
  5. Step 5: Solve for x
    x = 1,812,374,905.43/47,684.87
  6. Step 6: Final answer
    x = 38,007.34

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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.