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Finding the Fourth Proportional to 60,224, 83,109.12 and 33,728

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Solution

The fourth proportional to 60,224, 83,109.12 and 33,728 is: 46,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,224 : 83,109.12 = 33,728 : x
  2. Step 2: Convert to fraction form
    60,224/83,109.12 = 33,728/x
  3. Step 3: Cross multiply
    60,224x = 83,109.12 × 33,728
  4. Step 4: Simplify right side
    60,224x = 2,803,104,399.36
  5. Step 5: Solve for x
    x = 2,803,104,399.36/60,224
  6. Step 6: Final answer
    x = 46,544.64

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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.