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Finding the Fourth Proportional to 33,203.16, 45,865.08 and 30,841.20

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Solution

The fourth proportional to 33,203.16, 45,865.08 and 30,841.20 is: 42,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.16 : 45,865.08 = 30,841.20 : x
  2. Step 2: Convert to fraction form
    33,203.16/45,865.08 = 30,841.20/x
  3. Step 3: Cross multiply
    33,203.16x = 45,865.08 × 30,841.20
  4. Step 4: Simplify right side
    33,203.16x = 1,414,534,105.30
  5. Step 5: Solve for x
    x = 1,414,534,105.30/33,203.16
  6. Step 6: Final answer
    x = 42,602.39

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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.