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Finding the Fourth Proportional to 34,291.56, 51,439.62 and 13,231.87

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Solution

The fourth proportional to 34,291.56, 51,439.62 and 13,231.87 is: 19,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.56 : 51,439.62 = 13,231.87 : x
  2. Step 2: Convert to fraction form
    34,291.56/51,439.62 = 13,231.87/x
  3. Step 3: Cross multiply
    34,291.56x = 51,439.62 × 13,231.87
  4. Step 4: Simplify right side
    34,291.56x = 680,642,285.71
  5. Step 5: Solve for x
    x = 680,642,285.71/34,291.56
  6. Step 6: Final answer
    x = 19,848.68

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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.