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Finding the Fourth Proportional to 31,019.01, 46,532.81 and 9,954.09

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Solution

The fourth proportional to 31,019.01, 46,532.81 and 9,954.09 is: 14,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.01 : 46,532.81 = 9,954.09 : x
  2. Step 2: Convert to fraction form
    31,019.01/46,532.81 = 9,954.09/x
  3. Step 3: Cross multiply
    31,019.01x = 46,532.81 × 9,954.09
  4. Step 4: Simplify right side
    31,019.01x = 463,191,728.92
  5. Step 5: Solve for x
    x = 463,191,728.92/31,019.01
  6. Step 6: Final answer
    x = 14,932.51

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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.