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Finding the Fourth Proportional to 78,202.32, 117,319.88 and 33,835.38

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Solution

The fourth proportional to 78,202.32, 117,319.88 and 33,835.38 is: 50,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.32 : 117,319.88 = 33,835.38 : x
  2. Step 2: Convert to fraction form
    78,202.32/117,319.88 = 33,835.38/x
  3. Step 3: Cross multiply
    78,202.32x = 117,319.88 × 33,835.38
  4. Step 4: Simplify right side
    78,202.32x = 3,969,562,805.94
  5. Step 5: Solve for x
    x = 3,969,562,805.94/78,202.32
  6. Step 6: Final answer
    x = 50,760.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.