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Finding the Fourth Proportional to 47,286.57, 70,940.23 and 14,009.24

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Solution

The fourth proportional to 47,286.57, 70,940.23 and 14,009.24 is: 21,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.57 : 70,940.23 = 14,009.24 : x
  2. Step 2: Convert to fraction form
    47,286.57/70,940.23 = 14,009.24/x
  3. Step 3: Cross multiply
    47,286.57x = 70,940.23 × 14,009.24
  4. Step 4: Simplify right side
    47,286.57x = 993,818,353.02
  5. Step 5: Solve for x
    x = 993,818,353.02/47,286.57
  6. Step 6: Final answer
    x = 21,016.93

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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.