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Finding the Fourth Proportional to 36,643, 50,567.36 and 19,876

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Solution

The fourth proportional to 36,643, 50,567.36 and 19,876 is: 27,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643 : 50,567.36 = 19,876 : x
  2. Step 2: Convert to fraction form
    36,643/50,567.36 = 19,876/x
  3. Step 3: Cross multiply
    36,643x = 50,567.36 × 19,876
  4. Step 4: Simplify right side
    36,643x = 1,005,076,847.36
  5. Step 5: Solve for x
    x = 1,005,076,847.36/36,643
  6. Step 6: Final answer
    x = 27,428.89

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