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Finding the Fourth Proportional to 32,349.38, 44,642.82 and 18,202.22

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Solution

The fourth proportional to 32,349.38, 44,642.82 and 18,202.22 is: 25,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.38 : 44,642.82 = 18,202.22 : x
  2. Step 2: Convert to fraction form
    32,349.38/44,642.82 = 18,202.22/x
  3. Step 3: Cross multiply
    32,349.38x = 44,642.82 × 18,202.22
  4. Step 4: Simplify right side
    32,349.38x = 812,598,392.32
  5. Step 5: Solve for x
    x = 812,598,392.32/32,349.38
  6. Step 6: Final answer
    x = 25,119.45

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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.