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Finding the Fourth Proportional to 36,461.50, 50,316.89 and 19,694.50

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Solution

The fourth proportional to 36,461.50, 50,316.89 and 19,694.50 is: 27,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461.50 : 50,316.89 = 19,694.50 : x
  2. Step 2: Convert to fraction form
    36,461.50/50,316.89 = 19,694.50/x
  3. Step 3: Cross multiply
    36,461.50x = 50,316.89 × 19,694.50
  4. Step 4: Simplify right side
    36,461.50x = 990,965,990.11
  5. Step 5: Solve for x
    x = 990,965,990.11/36,461.50
  6. Step 6: Final answer
    x = 27,178.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.