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Finding the Fourth Proportional to 31,275.92, 46,887.96 and 11,550.80

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Solution

The fourth proportional to 31,275.92, 46,887.96 and 11,550.80 is: 17,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275.92 : 46,887.96 = 11,550.80 : x
  2. Step 2: Convert to fraction form
    31,275.92/46,887.96 = 11,550.80/x
  3. Step 3: Cross multiply
    31,275.92x = 46,887.96 × 11,550.80
  4. Step 4: Simplify right side
    31,275.92x = 541,593,448.37
  5. Step 5: Solve for x
    x = 541,593,448.37/31,275.92
  6. Step 6: Final answer
    x = 17,316.63

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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.