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Finding the Fourth Proportional to 36,584, 50,485.92 and 19,817

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Solution

The fourth proportional to 36,584, 50,485.92 and 19,817 is: 27,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 50,485.92 = 19,817 : x
  2. Step 2: Convert to fraction form
    36,584/50,485.92 = 19,817/x
  3. Step 3: Cross multiply
    36,584x = 50,485.92 × 19,817
  4. Step 4: Simplify right side
    36,584x = 1,000,479,476.64
  5. Step 5: Solve for x
    x = 1,000,479,476.64/36,584
  6. Step 6: Final answer
    x = 27,347.46

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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.