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Finding the Fourth Proportional to 57,224.64, 78,966.72 and 33,355.20

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Solution

The fourth proportional to 57,224.64, 78,966.72 and 33,355.20 is: 46,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.64 : 78,966.72 = 33,355.20 : x
  2. Step 2: Convert to fraction form
    57,224.64/78,966.72 = 33,355.20/x
  3. Step 3: Cross multiply
    57,224.64x = 78,966.72 × 33,355.20
  4. Step 4: Simplify right side
    57,224.64x = 2,633,950,738.94
  5. Step 5: Solve for x
    x = 2,633,950,738.94/57,224.64
  6. Step 6: Final answer
    x = 46,028.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.