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Finding the Fourth Proportional to 37,908.95, 52,297.43 and 21,984.17

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Solution

The fourth proportional to 37,908.95, 52,297.43 and 21,984.17 is: 30,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908.95 : 52,297.43 = 21,984.17 : x
  2. Step 2: Convert to fraction form
    37,908.95/52,297.43 = 21,984.17/x
  3. Step 3: Cross multiply
    37,908.95x = 52,297.43 × 21,984.17
  4. Step 4: Simplify right side
    37,908.95x = 1,149,715,220.28
  5. Step 5: Solve for x
    x = 1,149,715,220.28/37,908.95
  6. Step 6: Final answer
    x = 30,328.34

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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.