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Finding the Fourth Proportional to 27,568.40, 41,352.60 and 24,506.60

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Solution

The fourth proportional to 27,568.40, 41,352.60 and 24,506.60 is: 36,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.40 : 41,352.60 = 24,506.60 : x
  2. Step 2: Convert to fraction form
    27,568.40/41,352.60 = 24,506.60/x
  3. Step 3: Cross multiply
    27,568.40x = 41,352.60 × 24,506.60
  4. Step 4: Simplify right side
    27,568.40x = 1,013,411,627.16
  5. Step 5: Solve for x
    x = 1,013,411,627.16/27,568.40
  6. Step 6: Final answer
    x = 36,759.90

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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.