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Finding the Fourth Proportional to 34,231.40, 51,347.10 and 19,434.60

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Solution

The fourth proportional to 34,231.40, 51,347.10 and 19,434.60 is: 29,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.40 : 51,347.10 = 19,434.60 : x
  2. Step 2: Convert to fraction form
    34,231.40/51,347.10 = 19,434.60/x
  3. Step 3: Cross multiply
    34,231.40x = 51,347.10 × 19,434.60
  4. Step 4: Simplify right side
    34,231.40x = 997,910,349.66
  5. Step 5: Solve for x
    x = 997,910,349.66/34,231.40
  6. Step 6: Final answer
    x = 29,151.90

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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.