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Finding the Fourth Proportional to 36,577, 50,476.27 and 19,810

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Solution

The fourth proportional to 36,577, 50,476.27 and 19,810 is: 27,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,577 : 50,476.27 = 19,810 : x
  2. Step 2: Convert to fraction form
    36,577/50,476.27 = 19,810/x
  3. Step 3: Cross multiply
    36,577x = 50,476.27 × 19,810
  4. Step 4: Simplify right side
    36,577x = 999,934,908.70
  5. Step 5: Solve for x
    x = 999,934,908.70/36,577
  6. Step 6: Final answer
    x = 27,337.81

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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.