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Finding the Fourth Proportional to 27,487.68, 41,280 and 20,469.60

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Solution

The fourth proportional to 27,487.68, 41,280 and 20,469.60 is: 30,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.68 : 41,280 = 20,469.60 : x
  2. Step 2: Convert to fraction form
    27,487.68/41,280 = 20,469.60/x
  3. Step 3: Cross multiply
    27,487.68x = 41,280 × 20,469.60
  4. Step 4: Simplify right side
    27,487.68x = 844,985,088.00
  5. Step 5: Solve for x
    x = 844,985,088.00/27,487.68
  6. Step 6: Final answer
    x = 30,740.50

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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.