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Finding the Fourth Proportional to 32,190.94, 44,386.14 and 30,198.34

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Solution

The fourth proportional to 32,190.94, 44,386.14 and 30,198.34 is: 41,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.94 : 44,386.14 = 30,198.34 : x
  2. Step 2: Convert to fraction form
    32,190.94/44,386.14 = 30,198.34/x
  3. Step 3: Cross multiply
    32,190.94x = 44,386.14 × 30,198.34
  4. Step 4: Simplify right side
    32,190.94x = 1,340,387,747.01
  5. Step 5: Solve for x
    x = 1,340,387,747.01/32,190.94
  6. Step 6: Final answer
    x = 41,638.66

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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.