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Finding the Fourth Proportional to 31,224.14, 46,854.71 and 11,516.54

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Solution

The fourth proportional to 31,224.14, 46,854.71 and 11,516.54 is: 17,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.14 : 46,854.71 = 11,516.54 : x
  2. Step 2: Convert to fraction form
    31,224.14/46,854.71 = 11,516.54/x
  3. Step 3: Cross multiply
    31,224.14x = 46,854.71 × 11,516.54
  4. Step 4: Simplify right side
    31,224.14x = 539,604,141.90
  5. Step 5: Solve for x
    x = 539,604,141.90/31,224.14
  6. Step 6: Final answer
    x = 17,281.63

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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.