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Finding the Fourth Proportional to 27,873.96, 38,412.96 and 27,361.55

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Solution

The fourth proportional to 27,873.96, 38,412.96 and 27,361.55 is: 37,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.96 : 38,412.96 = 27,361.55 : x
  2. Step 2: Convert to fraction form
    27,873.96/38,412.96 = 27,361.55/x
  3. Step 3: Cross multiply
    27,873.96x = 38,412.96 × 27,361.55
  4. Step 4: Simplify right side
    27,873.96x = 1,051,037,980.00
  5. Step 5: Solve for x
    x = 1,051,037,980.00/27,873.96
  6. Step 6: Final answer
    x = 37,706.80

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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.