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Finding the Fourth Proportional to 76,351.38, 114,534.90 and 26,431.40

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Solution

The fourth proportional to 76,351.38, 114,534.90 and 26,431.40 is: 39,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,351.38 : 114,534.90 = 26,431.40 : x
  2. Step 2: Convert to fraction form
    76,351.38/114,534.90 = 26,431.40/x
  3. Step 3: Cross multiply
    76,351.38x = 114,534.90 × 26,431.40
  4. Step 4: Simplify right side
    76,351.38x = 3,027,317,755.86
  5. Step 5: Solve for x
    x = 3,027,317,755.86/76,351.38
  6. Step 6: Final answer
    x = 39,649.81

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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.