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Finding the Fourth Proportional to 27,078.35, 40,627.14 and 12,084.10

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Solution

The fourth proportional to 27,078.35, 40,627.14 and 12,084.10 is: 18,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.35 : 40,627.14 = 12,084.10 : x
  2. Step 2: Convert to fraction form
    27,078.35/40,627.14 = 12,084.10/x
  3. Step 3: Cross multiply
    27,078.35x = 40,627.14 × 12,084.10
  4. Step 4: Simplify right side
    27,078.35x = 490,942,504.12
  5. Step 5: Solve for x
    x = 490,942,504.12/27,078.35
  6. Step 6: Final answer
    x = 18,130.44

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1.5x scale

Why These Related Problems?

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