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Finding the Fourth Proportional to 78,056.33, 117,000.52 and 33,703.97

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Solution

The fourth proportional to 78,056.33, 117,000.52 and 33,703.97 is: 50,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056.33 : 117,000.52 = 33,703.97 : x
  2. Step 2: Convert to fraction form
    78,056.33/117,000.52 = 33,703.97/x
  3. Step 3: Cross multiply
    78,056.33x = 117,000.52 × 33,703.97
  4. Step 4: Simplify right side
    78,056.33x = 3,943,381,346.80
  5. Step 5: Solve for x
    x = 3,943,381,346.80/78,056.33
  6. Step 6: Final answer
    x = 50,519.69

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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.