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Finding the Fourth Proportional to 47,954.34, 66,177.27 and 27,823.21

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Solution

The fourth proportional to 47,954.34, 66,177.27 and 27,823.21 is: 38,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.34 : 66,177.27 = 27,823.21 : x
  2. Step 2: Convert to fraction form
    47,954.34/66,177.27 = 27,823.21/x
  3. Step 3: Cross multiply
    47,954.34x = 66,177.27 × 27,823.21
  4. Step 4: Simplify right side
    47,954.34x = 1,841,263,749.55
  5. Step 5: Solve for x
    x = 1,841,263,749.55/47,954.34
  6. Step 6: Final answer
    x = 38,396.19

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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.