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Finding the Fourth Proportional to 36,543.30, 50,429.91 and 19,776.30

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Solution

The fourth proportional to 36,543.30, 50,429.91 and 19,776.30 is: 27,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,543.30 : 50,429.91 = 19,776.30 : x
  2. Step 2: Convert to fraction form
    36,543.30/50,429.91 = 19,776.30/x
  3. Step 3: Cross multiply
    36,543.30x = 50,429.91 × 19,776.30
  4. Step 4: Simplify right side
    36,543.30x = 997,317,029.13
  5. Step 5: Solve for x
    x = 997,317,029.13/36,543.30
  6. Step 6: Final answer
    x = 27,291.38

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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.