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Finding the Fourth Proportional to 78,165.06, 117,249.78 and 48,668.10

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Solution

The fourth proportional to 78,165.06, 117,249.78 and 48,668.10 is: 73,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.06 : 117,249.78 = 48,668.10 : x
  2. Step 2: Convert to fraction form
    78,165.06/117,249.78 = 48,668.10/x
  3. Step 3: Cross multiply
    78,165.06x = 117,249.78 × 48,668.10
  4. Step 4: Simplify right side
    78,165.06x = 5,706,324,018.02
  5. Step 5: Solve for x
    x = 5,706,324,018.02/78,165.06
  6. Step 6: Final answer
    x = 73,003.51

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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.