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Finding the Fourth Proportional to 34,174.34, 47,160.65 and 20,027.20

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Solution

The fourth proportional to 34,174.34, 47,160.65 and 20,027.20 is: 27,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.34 : 47,160.65 = 20,027.20 : x
  2. Step 2: Convert to fraction form
    34,174.34/47,160.65 = 20,027.20/x
  3. Step 3: Cross multiply
    34,174.34x = 47,160.65 × 20,027.20
  4. Step 4: Simplify right side
    34,174.34x = 944,495,769.68
  5. Step 5: Solve for x
    x = 944,495,769.68/34,174.34
  6. Step 6: Final answer
    x = 27,637.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.