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Finding the Fourth Proportional to 31,015.92, 46,520.01 and 9,954.30

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Solution

The fourth proportional to 31,015.92, 46,520.01 and 9,954.30 is: 14,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.92 : 46,520.01 = 9,954.30 : x
  2. Step 2: Convert to fraction form
    31,015.92/46,520.01 = 9,954.30/x
  3. Step 3: Cross multiply
    31,015.92x = 46,520.01 × 9,954.30
  4. Step 4: Simplify right side
    31,015.92x = 463,074,135.54
  5. Step 5: Solve for x
    x = 463,074,135.54/31,015.92
  6. Step 6: Final answer
    x = 14,930.21

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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.