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Finding the Fourth Proportional to 100,874.92, 151,107.85 and 46,763.54

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Solution

The fourth proportional to 100,874.92, 151,107.85 and 46,763.54 is: 70,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,874.92 : 151,107.85 = 46,763.54 : x
  2. Step 2: Convert to fraction form
    100,874.92/151,107.85 = 46,763.54/x
  3. Step 3: Cross multiply
    100,874.92x = 151,107.85 × 46,763.54
  4. Step 4: Simplify right side
    100,874.92x = 7,066,337,753.97
  5. Step 5: Solve for x
    x = 7,066,337,753.97/100,874.92
  6. Step 6: Final answer
    x = 70,050.50

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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.