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Finding the Fourth Proportional to 37,909.32, 52,297.94 and 21,984.54

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Solution

The fourth proportional to 37,909.32, 52,297.94 and 21,984.54 is: 30,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,909.32 : 52,297.94 = 21,984.54 : x
  2. Step 2: Convert to fraction form
    37,909.32/52,297.94 = 21,984.54/x
  3. Step 3: Cross multiply
    37,909.32x = 52,297.94 × 21,984.54
  4. Step 4: Simplify right side
    37,909.32x = 1,149,746,043.92
  5. Step 5: Solve for x
    x = 1,149,746,043.92/37,909.32
  6. Step 6: Final answer
    x = 30,328.85

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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.