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Finding the Fourth Proportional to 27,574.80, 41,362.20 and 14,431.20

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Solution

The fourth proportional to 27,574.80, 41,362.20 and 14,431.20 is: 21,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.80 : 41,362.20 = 14,431.20 : x
  2. Step 2: Convert to fraction form
    27,574.80/41,362.20 = 14,431.20/x
  3. Step 3: Cross multiply
    27,574.80x = 41,362.20 × 14,431.20
  4. Step 4: Simplify right side
    27,574.80x = 596,906,180.64
  5. Step 5: Solve for x
    x = 596,906,180.64/27,574.80
  6. Step 6: Final answer
    x = 21,646.80

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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.