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Finding the Fourth Proportional to 77,900.26, 116,866.11 and 24,600.57

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Solution

The fourth proportional to 77,900.26, 116,866.11 and 24,600.57 is: 36,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900.26 : 116,866.11 = 24,600.57 : x
  2. Step 2: Convert to fraction form
    77,900.26/116,866.11 = 24,600.57/x
  3. Step 3: Cross multiply
    77,900.26x = 116,866.11 × 24,600.57
  4. Step 4: Simplify right side
    77,900.26x = 2,874,972,919.68
  5. Step 5: Solve for x
    x = 2,874,972,919.68/77,900.26
  6. Step 6: Final answer
    x = 36,905.82

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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.