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Finding the Fourth Proportional to 34,489.31, 51,697.19 and 19,666.31

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Solution

The fourth proportional to 34,489.31, 51,697.19 and 19,666.31 is: 29,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.31 : 51,697.19 = 19,666.31 : x
  2. Step 2: Convert to fraction form
    34,489.31/51,697.19 = 19,666.31/x
  3. Step 3: Cross multiply
    34,489.31x = 51,697.19 × 19,666.31
  4. Step 4: Simplify right side
    34,489.31x = 1,016,692,607.85
  5. Step 5: Solve for x
    x = 1,016,692,607.85/34,489.31
  6. Step 6: Final answer
    x = 29,478.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.