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Finding the Fourth Proportional to 52,097.82, 78,063.70 and 33,362.45

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Solution

The fourth proportional to 52,097.82, 78,063.70 and 33,362.45 is: 49,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.82 : 78,063.70 = 33,362.45 : x
  2. Step 2: Convert to fraction form
    52,097.82/78,063.70 = 33,362.45/x
  3. Step 3: Cross multiply
    52,097.82x = 78,063.70 × 33,362.45
  4. Step 4: Simplify right side
    52,097.82x = 2,604,396,107.08
  5. Step 5: Solve for x
    x = 2,604,396,107.08/52,097.82
  6. Step 6: Final answer
    x = 49,990.50

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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.