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Finding the Fourth Proportional to 29,878.44, 41,208.60 and 27,866.40

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Solution

The fourth proportional to 29,878.44, 41,208.60 and 27,866.40 is: 38,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.44 : 41,208.60 = 27,866.40 : x
  2. Step 2: Convert to fraction form
    29,878.44/41,208.60 = 27,866.40/x
  3. Step 3: Cross multiply
    29,878.44x = 41,208.60 × 27,866.40
  4. Step 4: Simplify right side
    29,878.44x = 1,148,335,331.04
  5. Step 5: Solve for x
    x = 1,148,335,331.04/29,878.44
  6. Step 6: Final answer
    x = 38,433.58

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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.