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Finding the Fourth Proportional to 78,571.28, 117,857.50 and 22,411.28

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Solution

The fourth proportional to 78,571.28, 117,857.50 and 22,411.28 is: 33,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571.28 : 117,857.50 = 22,411.28 : x
  2. Step 2: Convert to fraction form
    78,571.28/117,857.50 = 22,411.28/x
  3. Step 3: Cross multiply
    78,571.28x = 117,857.50 × 22,411.28
  4. Step 4: Simplify right side
    78,571.28x = 2,641,337,671.22
  5. Step 5: Solve for x
    x = 2,641,337,671.22/78,571.28
  6. Step 6: Final answer
    x = 33,617.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.