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Finding the Fourth Proportional to 33,199.70, 49,827.90 and 13,492.40

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Solution

The fourth proportional to 33,199.70, 49,827.90 and 13,492.40 is: 20,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.70 : 49,827.90 = 13,492.40 : x
  2. Step 2: Convert to fraction form
    33,199.70/49,827.90 = 13,492.40/x
  3. Step 3: Cross multiply
    33,199.70x = 49,827.90 × 13,492.40
  4. Step 4: Simplify right side
    33,199.70x = 672,297,957.96
  5. Step 5: Solve for x
    x = 672,297,957.96/33,199.70
  6. Step 6: Final answer
    x = 20,250.12

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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.