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Finding the Fourth Proportional to 32,090.38, 44,295.86 and 22,052.05

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Solution

The fourth proportional to 32,090.38, 44,295.86 and 22,052.05 is: 30,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.38 : 44,295.86 = 22,052.05 : x
  2. Step 2: Convert to fraction form
    32,090.38/44,295.86 = 22,052.05/x
  3. Step 3: Cross multiply
    32,090.38x = 44,295.86 × 22,052.05
  4. Step 4: Simplify right side
    32,090.38x = 976,814,463.90
  5. Step 5: Solve for x
    x = 976,814,463.90/32,090.38
  6. Step 6: Final answer
    x = 30,439.48

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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.