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Finding the Fourth Proportional to 73,927, 102,019.26 and 40,393

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Solution

The fourth proportional to 73,927, 102,019.26 and 40,393 is: 55,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,927 : 102,019.26 = 40,393 : x
  2. Step 2: Convert to fraction form
    73,927/102,019.26 = 40,393/x
  3. Step 3: Cross multiply
    73,927x = 102,019.26 × 40,393
  4. Step 4: Simplify right side
    73,927x = 4,120,863,969.18
  5. Step 5: Solve for x
    x = 4,120,863,969.18/73,927
  6. Step 6: Final answer
    x = 55,742.34

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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.