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Finding the Fourth Proportional to 33,049.60, 49,606.80 and 16,428.40

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Solution

The fourth proportional to 33,049.60, 49,606.80 and 16,428.40 is: 24,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.60 : 49,606.80 = 16,428.40 : x
  2. Step 2: Convert to fraction form
    33,049.60/49,606.80 = 16,428.40/x
  3. Step 3: Cross multiply
    33,049.60x = 49,606.80 × 16,428.40
  4. Step 4: Simplify right side
    33,049.60x = 814,960,353.12
  5. Step 5: Solve for x
    x = 814,960,353.12/33,049.60
  6. Step 6: Final answer
    x = 24,658.71

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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.