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Finding the Fourth Proportional to 84,571.34, 126,847.29 and 28,409.18

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Solution

The fourth proportional to 84,571.34, 126,847.29 and 28,409.18 is: 42,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,571.34 : 126,847.29 = 28,409.18 : x
  2. Step 2: Convert to fraction form
    84,571.34/126,847.29 = 28,409.18/x
  3. Step 3: Cross multiply
    84,571.34x = 126,847.29 × 28,409.18
  4. Step 4: Simplify right side
    84,571.34x = 3,603,627,494.12
  5. Step 5: Solve for x
    x = 3,603,627,494.12/84,571.34
  6. Step 6: Final answer
    x = 42,610.50

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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.