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Finding the Fourth Proportional to 33,689.40, 50,509.80 and 22,009.20

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Solution

The fourth proportional to 33,689.40, 50,509.80 and 22,009.20 is: 32,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.40 : 50,509.80 = 22,009.20 : x
  2. Step 2: Convert to fraction form
    33,689.40/50,509.80 = 22,009.20/x
  3. Step 3: Cross multiply
    33,689.40x = 50,509.80 × 22,009.20
  4. Step 4: Simplify right side
    33,689.40x = 1,111,680,290.16
  5. Step 5: Solve for x
    x = 1,111,680,290.16/33,689.40
  6. Step 6: Final answer
    x = 32,997.92

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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.