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Finding the Fourth Proportional to 31,104.46, 46,660.74 and 12,386.17

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Solution

The fourth proportional to 31,104.46, 46,660.74 and 12,386.17 is: 18,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.46 : 46,660.74 = 12,386.17 : x
  2. Step 2: Convert to fraction form
    31,104.46/46,660.74 = 12,386.17/x
  3. Step 3: Cross multiply
    31,104.46x = 46,660.74 × 12,386.17
  4. Step 4: Simplify right side
    31,104.46x = 577,947,857.97
  5. Step 5: Solve for x
    x = 577,947,857.97/31,104.46
  6. Step 6: Final answer
    x = 18,580.87

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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.