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Finding the Fourth Proportional to 38,878.69, 53,678.42 and 29,910.37

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Solution

The fourth proportional to 38,878.69, 53,678.42 and 29,910.37 is: 41,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878.69 : 53,678.42 = 29,910.37 : x
  2. Step 2: Convert to fraction form
    38,878.69/53,678.42 = 29,910.37/x
  3. Step 3: Cross multiply
    38,878.69x = 53,678.42 × 29,910.37
  4. Step 4: Simplify right side
    38,878.69x = 1,605,541,403.22
  5. Step 5: Solve for x
    x = 1,605,541,403.22/38,878.69
  6. Step 6: Final answer
    x = 41,296.18

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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.