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Finding the Fourth Proportional to 40,902.68, 56,412.78 and 27,469.88

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Solution

The fourth proportional to 40,902.68, 56,412.78 and 27,469.88 is: 37,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902.68 : 56,412.78 = 27,469.88 : x
  2. Step 2: Convert to fraction form
    40,902.68/56,412.78 = 27,469.88/x
  3. Step 3: Cross multiply
    40,902.68x = 56,412.78 × 27,469.88
  4. Step 4: Simplify right side
    40,902.68x = 1,549,652,297.07
  5. Step 5: Solve for x
    x = 1,549,652,297.07/40,902.68
  6. Step 6: Final answer
    x = 37,886.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.