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Finding the Fourth Proportional to 47,713.34, 65,847.40 and 27,573.90

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Solution

The fourth proportional to 47,713.34, 65,847.40 and 27,573.90 is: 38,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.34 : 65,847.40 = 27,573.90 : x
  2. Step 2: Convert to fraction form
    47,713.34/65,847.40 = 27,573.90/x
  3. Step 3: Cross multiply
    47,713.34x = 65,847.40 × 27,573.90
  4. Step 4: Simplify right side
    47,713.34x = 1,815,669,622.86
  5. Step 5: Solve for x
    x = 1,815,669,622.86/47,713.34
  6. Step 6: Final answer
    x = 38,053.71

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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.