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Finding the Fourth Proportional to 33,422.60, 50,141.10 and 10,051.40

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Solution

The fourth proportional to 33,422.60, 50,141.10 and 10,051.40 is: 15,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.60 : 50,141.10 = 10,051.40 : x
  2. Step 2: Convert to fraction form
    33,422.60/50,141.10 = 10,051.40/x
  3. Step 3: Cross multiply
    33,422.60x = 50,141.10 × 10,051.40
  4. Step 4: Simplify right side
    33,422.60x = 503,988,252.54
  5. Step 5: Solve for x
    x = 503,988,252.54/33,422.60
  6. Step 6: Final answer
    x = 15,079.27

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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.