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Finding the Fourth Proportional to 31,276.92, 46,889.46 and 11,551.80

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Solution

The fourth proportional to 31,276.92, 46,889.46 and 11,551.80 is: 17,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276.92 : 46,889.46 = 11,551.80 : x
  2. Step 2: Convert to fraction form
    31,276.92/46,889.46 = 11,551.80/x
  3. Step 3: Cross multiply
    31,276.92x = 46,889.46 × 11,551.80
  4. Step 4: Simplify right side
    31,276.92x = 541,657,664.03
  5. Step 5: Solve for x
    x = 541,657,664.03/31,276.92
  6. Step 6: Final answer
    x = 17,318.13

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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.