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Finding the Fourth Proportional to 57,976.66, 80,023.54 and 34,111.02

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Solution

The fourth proportional to 57,976.66, 80,023.54 and 34,111.02 is: 47,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,976.66 : 80,023.54 = 34,111.02 : x
  2. Step 2: Convert to fraction form
    57,976.66/80,023.54 = 34,111.02/x
  3. Step 3: Cross multiply
    57,976.66x = 80,023.54 × 34,111.02
  4. Step 4: Simplify right side
    57,976.66x = 2,729,684,488.13
  5. Step 5: Solve for x
    x = 2,729,684,488.13/57,976.66
  6. Step 6: Final answer
    x = 47,082.47

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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.