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Finding the Fourth Proportional to 49,449, 74,171.16 and 16,164.84

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Solution

The fourth proportional to 49,449, 74,171.16 and 16,164.84 is: 24,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,449 : 74,171.16 = 16,164.84 : x
  2. Step 2: Convert to fraction form
    49,449/74,171.16 = 16,164.84/x
  3. Step 3: Cross multiply
    49,449x = 74,171.16 × 16,164.84
  4. Step 4: Simplify right side
    49,449x = 1,198,964,934.01
  5. Step 5: Solve for x
    x = 1,198,964,934.01/49,449
  6. Step 6: Final answer
    x = 24,246.50

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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.