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Finding the Fourth Proportional to 27,902.40, 41,840.40 and 16,219.20

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Solution

The fourth proportional to 27,902.40, 41,840.40 and 16,219.20 is: 24,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.40 : 41,840.40 = 16,219.20 : x
  2. Step 2: Convert to fraction form
    27,902.40/41,840.40 = 16,219.20/x
  3. Step 3: Cross multiply
    27,902.40x = 41,840.40 × 16,219.20
  4. Step 4: Simplify right side
    27,902.40x = 678,617,815.68
  5. Step 5: Solve for x
    x = 678,617,815.68/27,902.40
  6. Step 6: Final answer
    x = 24,321.13

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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.