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Finding the Fourth Proportional to 33,702.70, 50,486.38 and 16,784.72

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Solution

The fourth proportional to 33,702.70, 50,486.38 and 16,784.72 is: 25,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.70 : 50,486.38 = 16,784.72 : x
  2. Step 2: Convert to fraction form
    33,702.70/50,486.38 = 16,784.72/x
  3. Step 3: Cross multiply
    33,702.70x = 50,486.38 × 16,784.72
  4. Step 4: Simplify right side
    33,702.70x = 847,399,752.11
  5. Step 5: Solve for x
    x = 847,399,752.11/33,702.70
  6. Step 6: Final answer
    x = 25,143.38

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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.