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Finding the Fourth Proportional to 101,151.38, 139,589.31 and 55,829.75

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Solution

The fourth proportional to 101,151.38, 139,589.31 and 55,829.75 is: 77,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,151.38 : 139,589.31 = 55,829.75 : x
  2. Step 2: Convert to fraction form
    101,151.38/139,589.31 = 55,829.75/x
  3. Step 3: Cross multiply
    101,151.38x = 139,589.31 × 55,829.75
  4. Step 4: Simplify right side
    101,151.38x = 7,793,236,000.82
  5. Step 5: Solve for x
    x = 7,793,236,000.82/101,151.38
  6. Step 6: Final answer
    x = 77,045.28

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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.