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Finding the Fourth Proportional to 31,805.40, 47,708.10 and 30,493.20

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Solution

The fourth proportional to 31,805.40, 47,708.10 and 30,493.20 is: 45,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.40 : 47,708.10 = 30,493.20 : x
  2. Step 2: Convert to fraction form
    31,805.40/47,708.10 = 30,493.20/x
  3. Step 3: Cross multiply
    31,805.40x = 47,708.10 × 30,493.20
  4. Step 4: Simplify right side
    31,805.40x = 1,454,772,634.92
  5. Step 5: Solve for x
    x = 1,454,772,634.92/31,805.40
  6. Step 6: Final answer
    x = 45,739.80

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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.