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Finding the Fourth Proportional to 38,845.36, 53,606.29 and 22,078.36

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Solution

The fourth proportional to 38,845.36, 53,606.29 and 22,078.36 is: 30,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,845.36 : 53,606.29 = 22,078.36 : x
  2. Step 2: Convert to fraction form
    38,845.36/53,606.29 = 22,078.36/x
  3. Step 3: Cross multiply
    38,845.36x = 53,606.29 × 22,078.36
  4. Step 4: Simplify right side
    38,845.36x = 1,183,538,590.46
  5. Step 5: Solve for x
    x = 1,183,538,590.46/38,845.36
  6. Step 6: Final answer
    x = 30,467.96

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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.