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Finding the Fourth Proportional to 36,583, 50,484.54 and 19,816

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Solution

The fourth proportional to 36,583, 50,484.54 and 19,816 is: 27,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583 : 50,484.54 = 19,816 : x
  2. Step 2: Convert to fraction form
    36,583/50,484.54 = 19,816/x
  3. Step 3: Cross multiply
    36,583x = 50,484.54 × 19,816
  4. Step 4: Simplify right side
    36,583x = 1,000,401,644.64
  5. Step 5: Solve for x
    x = 1,000,401,644.64/36,583
  6. Step 6: Final answer
    x = 27,346.08

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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.