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Finding the Fourth Proportional to 31,874.60, 43,985.78 and 17,727.14

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Solution

The fourth proportional to 31,874.60, 43,985.78 and 17,727.14 is: 24,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.60 : 43,985.78 = 17,727.14 : x
  2. Step 2: Convert to fraction form
    31,874.60/43,985.78 = 17,727.14/x
  3. Step 3: Cross multiply
    31,874.60x = 43,985.78 × 17,727.14
  4. Step 4: Simplify right side
    31,874.60x = 779,742,080.07
  5. Step 5: Solve for x
    x = 779,742,080.07/31,874.60
  6. Step 6: Final answer
    x = 24,462.80

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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.