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Finding the Fourth Proportional to 27,097.40, 40,646.10 and 22,431.80

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Solution

The fourth proportional to 27,097.40, 40,646.10 and 22,431.80 is: 33,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.40 : 40,646.10 = 22,431.80 : x
  2. Step 2: Convert to fraction form
    27,097.40/40,646.10 = 22,431.80/x
  3. Step 3: Cross multiply
    27,097.40x = 40,646.10 × 22,431.80
  4. Step 4: Simplify right side
    27,097.40x = 911,765,185.98
  5. Step 5: Solve for x
    x = 911,765,185.98/27,097.40
  6. Step 6: Final answer
    x = 33,647.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.