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Finding the Fourth Proportional to 27,892.80, 41,882.40 and 16,228.80

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Solution

The fourth proportional to 27,892.80, 41,882.40 and 16,228.80 is: 24,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.80 : 41,882.40 = 16,228.80 : x
  2. Step 2: Convert to fraction form
    27,892.80/41,882.40 = 16,228.80/x
  3. Step 3: Cross multiply
    27,892.80x = 41,882.40 × 16,228.80
  4. Step 4: Simplify right side
    27,892.80x = 679,701,093.12
  5. Step 5: Solve for x
    x = 679,701,093.12/27,892.80
  6. Step 6: Final answer
    x = 24,368.33

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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.