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Finding the Fourth Proportional to 57,690, 79,612.44 and 31,194

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Solution

The fourth proportional to 57,690, 79,612.44 and 31,194 is: 43,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690 : 79,612.44 = 31,194 : x
  2. Step 2: Convert to fraction form
    57,690/79,612.44 = 31,194/x
  3. Step 3: Cross multiply
    57,690x = 79,612.44 × 31,194
  4. Step 4: Simplify right side
    57,690x = 2,483,430,453.36
  5. Step 5: Solve for x
    x = 2,483,430,453.36/57,690
  6. Step 6: Final answer
    x = 43,047.85

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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.