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Finding the Fourth Proportional to 50,193, 75,302.46 and 14,653.44

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Solution

The fourth proportional to 50,193, 75,302.46 and 14,653.44 is: 21,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,193 : 75,302.46 = 14,653.44 : x
  2. Step 2: Convert to fraction form
    50,193/75,302.46 = 14,653.44/x
  3. Step 3: Cross multiply
    50,193x = 75,302.46 × 14,653.44
  4. Step 4: Simplify right side
    50,193x = 1,103,440,079.46
  5. Step 5: Solve for x
    x = 1,103,440,079.46/50,193
  6. Step 6: Final answer
    x = 21,983.94

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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.