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Finding the Fourth Proportional to 34,171, 47,145.02 and 26,978.20

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Solution

The fourth proportional to 34,171, 47,145.02 and 26,978.20 is: 37,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171 : 47,145.02 = 26,978.20 : x
  2. Step 2: Convert to fraction form
    34,171/47,145.02 = 26,978.20/x
  3. Step 3: Cross multiply
    34,171x = 47,145.02 × 26,978.20
  4. Step 4: Simplify right side
    34,171x = 1,271,887,778.56
  5. Step 5: Solve for x
    x = 1,271,887,778.56/34,171
  6. Step 6: Final answer
    x = 37,221.26

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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.