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Finding the Fourth Proportional to 73,926, 102,020.40 and 40,394.16

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Solution

The fourth proportional to 73,926, 102,020.40 and 40,394.16 is: 55,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 102,020.40 = 40,394.16 : x
  2. Step 2: Convert to fraction form
    73,926/102,020.40 = 40,394.16/x
  3. Step 3: Cross multiply
    73,926x = 102,020.40 × 40,394.16
  4. Step 4: Simplify right side
    73,926x = 4,121,028,360.86
  5. Step 5: Solve for x
    x = 4,121,028,360.86/73,926
  6. Step 6: Final answer
    x = 55,745.32

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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.