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Finding the Fourth Proportional to 43,541.69, 65,142.44 and 38,234.57

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Solution

The fourth proportional to 43,541.69, 65,142.44 and 38,234.57 is: 57,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,541.69 : 65,142.44 = 38,234.57 : x
  2. Step 2: Convert to fraction form
    43,541.69/65,142.44 = 38,234.57/x
  3. Step 3: Cross multiply
    43,541.69x = 65,142.44 × 38,234.57
  4. Step 4: Simplify right side
    43,541.69x = 2,490,693,153.83
  5. Step 5: Solve for x
    x = 2,490,693,153.83/43,541.69
  6. Step 6: Final answer
    x = 57,202.49

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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.