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Finding the Fourth Proportional to 47,573, 65,650.74 and 27,701

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Solution

The fourth proportional to 47,573, 65,650.74 and 27,701 is: 38,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573 : 65,650.74 = 27,701 : x
  2. Step 2: Convert to fraction form
    47,573/65,650.74 = 27,701/x
  3. Step 3: Cross multiply
    47,573x = 65,650.74 × 27,701
  4. Step 4: Simplify right side
    47,573x = 1,818,591,148.74
  5. Step 5: Solve for x
    x = 1,818,591,148.74/47,573
  6. Step 6: Final answer
    x = 38,227.38

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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.