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Finding the Fourth Proportional to 36,457.14, 50,310.84 and 19,690.14

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Solution

The fourth proportional to 36,457.14, 50,310.84 and 19,690.14 is: 27,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457.14 : 50,310.84 = 19,690.14 : x
  2. Step 2: Convert to fraction form
    36,457.14/50,310.84 = 19,690.14/x
  3. Step 3: Cross multiply
    36,457.14x = 50,310.84 × 19,690.14
  4. Step 4: Simplify right side
    36,457.14x = 990,627,483.12
  5. Step 5: Solve for x
    x = 990,627,483.12/36,457.14
  6. Step 6: Final answer
    x = 27,172.39

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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.