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Finding the Fourth Proportional to 31,103.46, 46,659.24 and 12,385.17

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Solution

The fourth proportional to 31,103.46, 46,659.24 and 12,385.17 is: 18,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.46 : 46,659.24 = 12,385.17 : x
  2. Step 2: Convert to fraction form
    31,103.46/46,659.24 = 12,385.17/x
  3. Step 3: Cross multiply
    31,103.46x = 46,659.24 × 12,385.17
  4. Step 4: Simplify right side
    31,103.46x = 577,882,619.47
  5. Step 5: Solve for x
    x = 577,882,619.47/31,103.46
  6. Step 6: Final answer
    x = 18,579.37

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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.