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Finding the Fourth Proportional to 57,760, 79,709.04 and 31,264

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Solution

The fourth proportional to 57,760, 79,709.04 and 31,264 is: 43,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760 : 79,709.04 = 31,264 : x
  2. Step 2: Convert to fraction form
    57,760/79,709.04 = 31,264/x
  3. Step 3: Cross multiply
    57,760x = 79,709.04 × 31,264
  4. Step 4: Simplify right side
    57,760x = 2,492,023,426.56
  5. Step 5: Solve for x
    x = 2,492,023,426.56/57,760
  6. Step 6: Final answer
    x = 43,144.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.