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Finding the Fourth Proportional to 33,792, 50,688.20 and 9,168

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Solution

The fourth proportional to 33,792, 50,688.20 and 9,168 is: 13,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792 : 50,688.20 = 9,168 : x
  2. Step 2: Convert to fraction form
    33,792/50,688.20 = 9,168/x
  3. Step 3: Cross multiply
    33,792x = 50,688.20 × 9,168
  4. Step 4: Simplify right side
    33,792x = 464,709,417.60
  5. Step 5: Solve for x
    x = 464,709,417.60/33,792
  6. Step 6: Final answer
    x = 13,752.05

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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.