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Finding the Fourth Proportional to 31,997.68, 47,938.12 and 23,585.04

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Solution

The fourth proportional to 31,997.68, 47,938.12 and 23,585.04 is: 35,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.68 : 47,938.12 = 23,585.04 : x
  2. Step 2: Convert to fraction form
    31,997.68/47,938.12 = 23,585.04/x
  3. Step 3: Cross multiply
    31,997.68x = 47,938.12 × 23,585.04
  4. Step 4: Simplify right side
    31,997.68x = 1,130,622,477.72
  5. Step 5: Solve for x
    x = 1,130,622,477.72/31,997.68
  6. Step 6: Final answer
    x = 35,334.51

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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.