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Finding the Fourth Proportional to 38,670.77, 53,369.03 and 22,537.24

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Solution

The fourth proportional to 38,670.77, 53,369.03 and 22,537.24 is: 31,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670.77 : 53,369.03 = 22,537.24 : x
  2. Step 2: Convert to fraction form
    38,670.77/53,369.03 = 22,537.24/x
  3. Step 3: Cross multiply
    38,670.77x = 53,369.03 × 22,537.24
  4. Step 4: Simplify right side
    38,670.77x = 1,202,790,258.15
  5. Step 5: Solve for x
    x = 1,202,790,258.15/38,670.77
  6. Step 6: Final answer
    x = 31,103.34

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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.