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Finding the Fourth Proportional to 27,069.09, 40,592.88 and 10,419.90

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Solution

The fourth proportional to 27,069.09, 40,592.88 and 10,419.90 is: 15,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,069.09 : 40,592.88 = 10,419.90 : x
  2. Step 2: Convert to fraction form
    27,069.09/40,592.88 = 10,419.90/x
  3. Step 3: Cross multiply
    27,069.09x = 40,592.88 × 10,419.90
  4. Step 4: Simplify right side
    27,069.09x = 422,973,750.31
  5. Step 5: Solve for x
    x = 422,973,750.31/27,069.09
  6. Step 6: Final answer
    x = 15,625.71

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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.