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Finding the Fourth Proportional to 31,462.04, 43,403.10 and 20,287.64

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Solution

The fourth proportional to 31,462.04, 43,403.10 and 20,287.64 is: 27,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.04 : 43,403.10 = 20,287.64 : x
  2. Step 2: Convert to fraction form
    31,462.04/43,403.10 = 20,287.64/x
  3. Step 3: Cross multiply
    31,462.04x = 43,403.10 × 20,287.64
  4. Step 4: Simplify right side
    31,462.04x = 880,546,467.68
  5. Step 5: Solve for x
    x = 880,546,467.68/31,462.04
  6. Step 6: Final answer
    x = 27,987.58

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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.