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Finding the Fourth Proportional to 57,094.88, 78,790.93 and 31,949.24

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Solution

The fourth proportional to 57,094.88, 78,790.93 and 31,949.24 is: 44,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094.88 : 78,790.93 = 31,949.24 : x
  2. Step 2: Convert to fraction form
    57,094.88/78,790.93 = 31,949.24/x
  3. Step 3: Cross multiply
    57,094.88x = 78,790.93 × 31,949.24
  4. Step 4: Simplify right side
    57,094.88x = 2,517,309,858.57
  5. Step 5: Solve for x
    x = 2,517,309,858.57/57,094.88
  6. Step 6: Final answer
    x = 44,089.94

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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.