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Finding the Fourth Proportional to 57,902.50, 79,905.45 and 31,406.50

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Solution

The fourth proportional to 57,902.50, 79,905.45 and 31,406.50 is: 43,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.50 : 79,905.45 = 31,406.50 : x
  2. Step 2: Convert to fraction form
    57,902.50/79,905.45 = 31,406.50/x
  3. Step 3: Cross multiply
    57,902.50x = 79,905.45 × 31,406.50
  4. Step 4: Simplify right side
    57,902.50x = 2,509,550,515.43
  5. Step 5: Solve for x
    x = 2,509,550,515.43/57,902.50
  6. Step 6: Final answer
    x = 43,340.97

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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.