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Finding the Fourth Proportional to 73,211.86, 101,037.52 and 41,381

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Solution

The fourth proportional to 73,211.86, 101,037.52 and 41,381 is: 57,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,211.86 : 101,037.52 = 41,381 : x
  2. Step 2: Convert to fraction form
    73,211.86/101,037.52 = 41,381/x
  3. Step 3: Cross multiply
    73,211.86x = 101,037.52 × 41,381
  4. Step 4: Simplify right side
    73,211.86x = 4,181,033,615.12
  5. Step 5: Solve for x
    x = 4,181,033,615.12/73,211.86
  6. Step 6: Final answer
    x = 57,108.69

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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.