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Finding the Fourth Proportional to 78,316.35, 117,523.94 and 33,337.63

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Solution

The fourth proportional to 78,316.35, 117,523.94 and 33,337.63 is: 50,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.35 : 117,523.94 = 33,337.63 : x
  2. Step 2: Convert to fraction form
    78,316.35/117,523.94 = 33,337.63/x
  3. Step 3: Cross multiply
    78,316.35x = 117,523.94 × 33,337.63
  4. Step 4: Simplify right side
    78,316.35x = 3,917,969,461.17
  5. Step 5: Solve for x
    x = 3,917,969,461.17/78,316.35
  6. Step 6: Final answer
    x = 50,027.48

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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.