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Finding the Fourth Proportional to 85,571.84, 128,365.16 and 22,391.71

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Solution

The fourth proportional to 85,571.84, 128,365.16 and 22,391.71 is: 33,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,571.84 : 128,365.16 = 22,391.71 : x
  2. Step 2: Convert to fraction form
    85,571.84/128,365.16 = 22,391.71/x
  3. Step 3: Cross multiply
    85,571.84x = 128,365.16 × 22,391.71
  4. Step 4: Simplify right side
    85,571.84x = 2,874,315,003.95
  5. Step 5: Solve for x
    x = 2,874,315,003.95/85,571.84
  6. Step 6: Final answer
    x = 33,589.50

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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.