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Finding the Fourth Proportional to 34,311.67, 51,471.66 and 12,120.51

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Solution

The fourth proportional to 34,311.67, 51,471.66 and 12,120.51 is: 18,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.67 : 51,471.66 = 12,120.51 : x
  2. Step 2: Convert to fraction form
    34,311.67/51,471.66 = 12,120.51/x
  3. Step 3: Cross multiply
    34,311.67x = 51,471.66 × 12,120.51
  4. Step 4: Simplify right side
    34,311.67x = 623,862,641.07
  5. Step 5: Solve for x
    x = 623,862,641.07/34,311.67
  6. Step 6: Final answer
    x = 18,182.23

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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.