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Finding the Fourth Proportional to 60,288, 83,197.44 and 33,792

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Solution

The fourth proportional to 60,288, 83,197.44 and 33,792 is: 46,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,288 : 83,197.44 = 33,792 : x
  2. Step 2: Convert to fraction form
    60,288/83,197.44 = 33,792/x
  3. Step 3: Cross multiply
    60,288x = 83,197.44 × 33,792
  4. Step 4: Simplify right side
    60,288x = 2,811,407,892.48
  5. Step 5: Solve for x
    x = 2,811,407,892.48/60,288
  6. Step 6: Final answer
    x = 46,632.96

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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.