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Finding the Fourth Proportional to 31,803.40, 47,705.10 and 19,993.60

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Solution

The fourth proportional to 31,803.40, 47,705.10 and 19,993.60 is: 29,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.40 : 47,705.10 = 19,993.60 : x
  2. Step 2: Convert to fraction form
    31,803.40/47,705.10 = 19,993.60/x
  3. Step 3: Cross multiply
    31,803.40x = 47,705.10 × 19,993.60
  4. Step 4: Simplify right side
    31,803.40x = 953,796,687.36
  5. Step 5: Solve for x
    x = 953,796,687.36/31,803.40
  6. Step 6: Final answer
    x = 29,990.40

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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.