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Finding the Fourth Proportional to 38,855.14, 53,637.45 and 29,899.30

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Solution

The fourth proportional to 38,855.14, 53,637.45 and 29,899.30 is: 41,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855.14 : 53,637.45 = 29,899.30 : x
  2. Step 2: Convert to fraction form
    38,855.14/53,637.45 = 29,899.30/x
  3. Step 3: Cross multiply
    38,855.14x = 53,637.45 × 29,899.30
  4. Step 4: Simplify right side
    38,855.14x = 1,603,722,208.79
  5. Step 5: Solve for x
    x = 1,603,722,208.79/38,855.14
  6. Step 6: Final answer
    x = 41,274.39

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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.