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Finding the Fourth Proportional to 31,803.57, 47,710.23 and 10,449.58

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Solution

The fourth proportional to 31,803.57, 47,710.23 and 10,449.58 is: 15,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.57 : 47,710.23 = 10,449.58 : x
  2. Step 2: Convert to fraction form
    31,803.57/47,710.23 = 10,449.58/x
  3. Step 3: Cross multiply
    31,803.57x = 47,710.23 × 10,449.58
  4. Step 4: Simplify right side
    31,803.57x = 498,551,865.20
  5. Step 5: Solve for x
    x = 498,551,865.20/31,803.57
  6. Step 6: Final answer
    x = 15,675.97

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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.