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Finding the Fourth Proportional to 78,315.85, 117,523.20 and 33,337.14

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Solution

The fourth proportional to 78,315.85, 117,523.20 and 33,337.14 is: 50,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,315.85 : 117,523.20 = 33,337.14 : x
  2. Step 2: Convert to fraction form
    78,315.85/117,523.20 = 33,337.14/x
  3. Step 3: Cross multiply
    78,315.85x = 117,523.20 × 33,337.14
  4. Step 4: Simplify right side
    78,315.85x = 3,917,887,749.85
  5. Step 5: Solve for x
    x = 3,917,887,749.85/78,315.85
  6. Step 6: Final answer
    x = 50,026.75

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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.