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Finding the Fourth Proportional to 27,431.60, 41,147.40 and 24,148.40

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Solution

The fourth proportional to 27,431.60, 41,147.40 and 24,148.40 is: 36,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.60 : 41,147.40 = 24,148.40 : x
  2. Step 2: Convert to fraction form
    27,431.60/41,147.40 = 24,148.40/x
  3. Step 3: Cross multiply
    27,431.60x = 41,147.40 × 24,148.40
  4. Step 4: Simplify right side
    27,431.60x = 993,643,874.16
  5. Step 5: Solve for x
    x = 993,643,874.16/27,431.60
  6. Step 6: Final answer
    x = 36,222.60

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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.