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Finding the Fourth Proportional to 27,069.12, 40,605.94 and 7,078.57

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Solution

The fourth proportional to 27,069.12, 40,605.94 and 7,078.57 is: 10,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,069.12 : 40,605.94 = 7,078.57 : x
  2. Step 2: Convert to fraction form
    27,069.12/40,605.94 = 7,078.57/x
  3. Step 3: Cross multiply
    27,069.12x = 40,605.94 × 7,078.57
  4. Step 4: Simplify right side
    27,069.12x = 287,431,988.71
  5. Step 5: Solve for x
    x = 287,431,988.71/27,069.12
  6. Step 6: Final answer
    x = 10,618.45

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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.