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Finding the Fourth Proportional to 57,794.50, 79,756.41 and 31,298.50

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Solution

The fourth proportional to 57,794.50, 79,756.41 and 31,298.50 is: 43,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,794.50 : 79,756.41 = 31,298.50 : x
  2. Step 2: Convert to fraction form
    57,794.50/79,756.41 = 31,298.50/x
  3. Step 3: Cross multiply
    57,794.50x = 79,756.41 × 31,298.50
  4. Step 4: Simplify right side
    57,794.50x = 2,496,255,998.39
  5. Step 5: Solve for x
    x = 2,496,255,998.39/57,794.50
  6. Step 6: Final answer
    x = 43,191.93

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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.