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Finding the Fourth Proportional to 57,222.50, 78,971.70 and 31,731.40

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Solution

The fourth proportional to 57,222.50, 78,971.70 and 31,731.40 is: 43,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.50 : 78,971.70 = 31,731.40 : x
  2. Step 2: Convert to fraction form
    57,222.50/78,971.70 = 31,731.40/x
  3. Step 3: Cross multiply
    57,222.50x = 78,971.70 × 31,731.40
  4. Step 4: Simplify right side
    57,222.50x = 2,505,882,601.38
  5. Step 5: Solve for x
    x = 2,505,882,601.38/57,222.50
  6. Step 6: Final answer
    x = 43,791.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.