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Finding the Fourth Proportional to 31,134.70, 46,679.42 and 12,409.12

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Solution

The fourth proportional to 31,134.70, 46,679.42 and 12,409.12 is: 18,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.70 : 46,679.42 = 12,409.12 : x
  2. Step 2: Convert to fraction form
    31,134.70/46,679.42 = 12,409.12/x
  3. Step 3: Cross multiply
    31,134.70x = 46,679.42 × 12,409.12
  4. Step 4: Simplify right side
    31,134.70x = 579,250,345.57
  5. Step 5: Solve for x
    x = 579,250,345.57/31,134.70
  6. Step 6: Final answer
    x = 18,604.66

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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.