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Finding the Fourth Proportional to 109,305.80, 163,968.28 and 33,421.46

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Solution

The fourth proportional to 109,305.80, 163,968.28 and 33,421.46 is: 50,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,305.80 : 163,968.28 = 33,421.46 : x
  2. Step 2: Convert to fraction form
    109,305.80/163,968.28 = 33,421.46/x
  3. Step 3: Cross multiply
    109,305.80x = 163,968.28 × 33,421.46
  4. Step 4: Simplify right side
    109,305.80x = 5,480,059,311.29
  5. Step 5: Solve for x
    x = 5,480,059,311.29/109,305.80
  6. Step 6: Final answer
    x = 50,135.12

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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.