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Finding the Fourth Proportional to 36,541.12, 50,426.94 and 19,774.12

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Solution

The fourth proportional to 36,541.12, 50,426.94 and 19,774.12 is: 27,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.12 : 50,426.94 = 19,774.12 : x
  2. Step 2: Convert to fraction form
    36,541.12/50,426.94 = 19,774.12/x
  3. Step 3: Cross multiply
    36,541.12x = 50,426.94 × 19,774.12
  4. Step 4: Simplify right side
    36,541.12x = 997,148,362.79
  5. Step 5: Solve for x
    x = 997,148,362.79/36,541.12
  6. Step 6: Final answer
    x = 27,288.39

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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.