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Finding the Fourth Proportional to 33,932, 50,901.60 and 9,308

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Solution

The fourth proportional to 33,932, 50,901.60 and 9,308 is: 13,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,932 : 50,901.60 = 9,308 : x
  2. Step 2: Convert to fraction form
    33,932/50,901.60 = 9,308/x
  3. Step 3: Cross multiply
    33,932x = 50,901.60 × 9,308
  4. Step 4: Simplify right side
    33,932x = 473,792,092.80
  5. Step 5: Solve for x
    x = 473,792,092.80/33,932
  6. Step 6: Final answer
    x = 13,962.99

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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.