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Finding the Fourth Proportional to 31,507.20, 47,163.60 and 18,320.40

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Solution

The fourth proportional to 31,507.20, 47,163.60 and 18,320.40 is: 27,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.20 : 47,163.60 = 18,320.40 : x
  2. Step 2: Convert to fraction form
    31,507.20/47,163.60 = 18,320.40/x
  3. Step 3: Cross multiply
    31,507.20x = 47,163.60 × 18,320.40
  4. Step 4: Simplify right side
    31,507.20x = 864,056,017.44
  5. Step 5: Solve for x
    x = 864,056,017.44/31,507.20
  6. Step 6: Final answer
    x = 27,424.08

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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.