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Finding the Fourth Proportional to 34,150.52, 47,132.34 and 20,009

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Solution

The fourth proportional to 34,150.52, 47,132.34 and 20,009 is: 27,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.52 : 47,132.34 = 20,009 : x
  2. Step 2: Convert to fraction form
    34,150.52/47,132.34 = 20,009/x
  3. Step 3: Cross multiply
    34,150.52x = 47,132.34 × 20,009
  4. Step 4: Simplify right side
    34,150.52x = 943,070,991.06
  5. Step 5: Solve for x
    x = 943,070,991.06/34,150.52
  6. Step 6: Final answer
    x = 27,615.13

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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.