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Finding the Fourth Proportional to 95,295, 142,942.50 and 39,891

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Solution

The fourth proportional to 95,295, 142,942.50 and 39,891 is: 59,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,295 : 142,942.50 = 39,891 : x
  2. Step 2: Convert to fraction form
    95,295/142,942.50 = 39,891/x
  3. Step 3: Cross multiply
    95,295x = 142,942.50 × 39,891
  4. Step 4: Simplify right side
    95,295x = 5,702,119,267.50
  5. Step 5: Solve for x
    x = 5,702,119,267.50/95,295
  6. Step 6: Final answer
    x = 59,836.50

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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.