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Finding the Fourth Proportional to 73,910.31, 102,014.46 and 42,098.01

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Solution

The fourth proportional to 73,910.31, 102,014.46 and 42,098.01 is: 58,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,910.31 : 102,014.46 = 42,098.01 : x
  2. Step 2: Convert to fraction form
    73,910.31/102,014.46 = 42,098.01/x
  3. Step 3: Cross multiply
    73,910.31x = 102,014.46 × 42,098.01
  4. Step 4: Simplify right side
    73,910.31x = 4,294,605,757.22
  5. Step 5: Solve for x
    x = 4,294,605,757.22/73,910.31
  6. Step 6: Final answer
    x = 58,105.64

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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.