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Finding the Fourth Proportional to 97,517.66, 146,281.50 and 27,402.44

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Solution

The fourth proportional to 97,517.66, 146,281.50 and 27,402.44 is: 41,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,517.66 : 146,281.50 = 27,402.44 : x
  2. Step 2: Convert to fraction form
    97,517.66/146,281.50 = 27,402.44/x
  3. Step 3: Cross multiply
    97,517.66x = 146,281.50 × 27,402.44
  4. Step 4: Simplify right side
    97,517.66x = 4,008,470,026.86
  5. Step 5: Solve for x
    x = 4,008,470,026.86/97,517.66
  6. Step 6: Final answer
    x = 41,105.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.