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Finding the Fourth Proportional to 57,239.45, 78,990.88 and 31,744.38

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Solution

The fourth proportional to 57,239.45, 78,990.88 and 31,744.38 is: 43,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,239.45 : 78,990.88 = 31,744.38 : x
  2. Step 2: Convert to fraction form
    57,239.45/78,990.88 = 31,744.38/x
  3. Step 3: Cross multiply
    57,239.45x = 78,990.88 × 31,744.38
  4. Step 4: Simplify right side
    57,239.45x = 2,507,516,511.25
  5. Step 5: Solve for x
    x = 2,507,516,511.25/57,239.45
  6. Step 6: Final answer
    x = 43,807.49

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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.