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Finding the Fourth Proportional to 57,902.25, 79,905.11 and 31,406.25

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Solution

The fourth proportional to 57,902.25, 79,905.11 and 31,406.25 is: 43,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.25 : 79,905.11 = 31,406.25 : x
  2. Step 2: Convert to fraction form
    57,902.25/79,905.11 = 31,406.25/x
  3. Step 3: Cross multiply
    57,902.25x = 79,905.11 × 31,406.25
  4. Step 4: Simplify right side
    57,902.25x = 2,509,519,703.91
  5. Step 5: Solve for x
    x = 2,509,519,703.91/57,902.25
  6. Step 6: Final answer
    x = 43,340.63

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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.