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Finding the Fourth Proportional to 38,662.34, 53,379.74 and 29,693.82

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Solution

The fourth proportional to 38,662.34, 53,379.74 and 29,693.82 is: 40,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.34 : 53,379.74 = 29,693.82 : x
  2. Step 2: Convert to fraction form
    38,662.34/53,379.74 = 29,693.82/x
  3. Step 3: Cross multiply
    38,662.34x = 53,379.74 × 29,693.82
  4. Step 4: Simplify right side
    38,662.34x = 1,585,048,391.21
  5. Step 5: Solve for x
    x = 1,585,048,391.21/38,662.34
  6. Step 6: Final answer
    x = 40,997.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.