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Finding the Fourth Proportional to 57,247.86, 78,983.16 and 34,578.38

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Solution

The fourth proportional to 57,247.86, 78,983.16 and 34,578.38 is: 47,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,247.86 : 78,983.16 = 34,578.38 : x
  2. Step 2: Convert to fraction form
    57,247.86/78,983.16 = 34,578.38/x
  3. Step 3: Cross multiply
    57,247.86x = 78,983.16 × 34,578.38
  4. Step 4: Simplify right side
    57,247.86x = 2,731,109,720.08
  5. Step 5: Solve for x
    x = 2,731,109,720.08/57,247.86
  6. Step 6: Final answer
    x = 47,706.76

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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.