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Finding the Fourth Proportional to 47,593.88, 65,662.16 and 28,474.20

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Solution

The fourth proportional to 47,593.88, 65,662.16 and 28,474.20 is: 39,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,593.88 : 65,662.16 = 28,474.20 : x
  2. Step 2: Convert to fraction form
    47,593.88/65,662.16 = 28,474.20/x
  3. Step 3: Cross multiply
    47,593.88x = 65,662.16 × 28,474.20
  4. Step 4: Simplify right side
    47,593.88x = 1,869,677,476.27
  5. Step 5: Solve for x
    x = 1,869,677,476.27/47,593.88
  6. Step 6: Final answer
    x = 39,283.99

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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.