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Finding the Fourth Proportional to 57,892.75, 79,892 and 31,396.75

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Solution

The fourth proportional to 57,892.75, 79,892 and 31,396.75 is: 43,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.75 : 79,892 = 31,396.75 : x
  2. Step 2: Convert to fraction form
    57,892.75/79,892 = 31,396.75/x
  3. Step 3: Cross multiply
    57,892.75x = 79,892 × 31,396.75
  4. Step 4: Simplify right side
    57,892.75x = 2,508,349,151
  5. Step 5: Solve for x
    x = 2,508,349,151/57,892.75
  6. Step 6: Final answer
    x = 43,327.52

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1.5x scale

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.