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Finding the Fourth Proportional to 37,100.12, 51,190.62 and 21,986.13

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Solution

The fourth proportional to 37,100.12, 51,190.62 and 21,986.13 is: 30,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100.12 : 51,190.62 = 21,986.13 : x
  2. Step 2: Convert to fraction form
    37,100.12/51,190.62 = 21,986.13/x
  3. Step 3: Cross multiply
    37,100.12x = 51,190.62 × 21,986.13
  4. Step 4: Simplify right side
    37,100.12x = 1,125,483,626.10
  5. Step 5: Solve for x
    x = 1,125,483,626.10/37,100.12
  6. Step 6: Final answer
    x = 30,336.39

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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.