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Finding the Fourth Proportional to 31,014.92, 46,513.98 and 13,480.76

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Solution

The fourth proportional to 31,014.92, 46,513.98 and 13,480.76 is: 20,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.92 : 46,513.98 = 13,480.76 : x
  2. Step 2: Convert to fraction form
    31,014.92/46,513.98 = 13,480.76/x
  3. Step 3: Cross multiply
    31,014.92x = 46,513.98 × 13,480.76
  4. Step 4: Simplify right side
    31,014.92x = 627,043,801.02
  5. Step 5: Solve for x
    x = 627,043,801.02/31,014.92
  6. Step 6: Final answer
    x = 20,217.49

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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.