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Finding the Fourth Proportional to 31,357.20, 47,035.53 and 7,983.60

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Solution

The fourth proportional to 31,357.20, 47,035.53 and 7,983.60 is: 11,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.20 : 47,035.53 = 7,983.60 : x
  2. Step 2: Convert to fraction form
    31,357.20/47,035.53 = 7,983.60/x
  3. Step 3: Cross multiply
    31,357.20x = 47,035.53 × 7,983.60
  4. Step 4: Simplify right side
    31,357.20x = 375,512,857.31
  5. Step 5: Solve for x
    x = 375,512,857.31/31,357.20
  6. Step 6: Final answer
    x = 11,975.33

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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.