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Finding the Fourth Proportional to 31,124.96, 46,687.41 and 11,405.06

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Solution

The fourth proportional to 31,124.96, 46,687.41 and 11,405.06 is: 17,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.96 : 46,687.41 = 11,405.06 : x
  2. Step 2: Convert to fraction form
    31,124.96/46,687.41 = 11,405.06/x
  3. Step 3: Cross multiply
    31,124.96x = 46,687.41 × 11,405.06
  4. Step 4: Simplify right side
    31,124.96x = 532,472,478.86
  5. Step 5: Solve for x
    x = 532,472,478.86/31,124.96
  6. Step 6: Final answer
    x = 17,107.57

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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.