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Finding the Fourth Proportional to 109,054.49, 163,581.80 and 34,180.47

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Solution

The fourth proportional to 109,054.49, 163,581.80 and 34,180.47 is: 51,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054.49 : 163,581.80 = 34,180.47 : x
  2. Step 2: Convert to fraction form
    109,054.49/163,581.80 = 34,180.47/x
  3. Step 3: Cross multiply
    109,054.49x = 163,581.80 × 34,180.47
  4. Step 4: Simplify right side
    109,054.49x = 5,591,302,636.54
  5. Step 5: Solve for x
    x = 5,591,302,636.54/109,054.49
  6. Step 6: Final answer
    x = 51,270.73

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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.