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Finding the Fourth Proportional to 31,581.20, 47,410.20 and 23,728.40

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Solution

The fourth proportional to 31,581.20, 47,410.20 and 23,728.40 is: 35,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,581.20 : 47,410.20 = 23,728.40 : x
  2. Step 2: Convert to fraction form
    31,581.20/47,410.20 = 23,728.40/x
  3. Step 3: Cross multiply
    31,581.20x = 47,410.20 × 23,728.40
  4. Step 4: Simplify right side
    31,581.20x = 1,124,968,189.68
  5. Step 5: Solve for x
    x = 1,124,968,189.68/31,581.20
  6. Step 6: Final answer
    x = 35,621.45

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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.