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Finding the Fourth Proportional to 37,874.98, 52,267.74 and 21,738.04

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Solution

The fourth proportional to 37,874.98, 52,267.74 and 21,738.04 is: 29,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.98 : 52,267.74 = 21,738.04 : x
  2. Step 2: Convert to fraction form
    37,874.98/52,267.74 = 21,738.04/x
  3. Step 3: Cross multiply
    37,874.98x = 52,267.74 × 21,738.04
  4. Step 4: Simplify right side
    37,874.98x = 1,136,198,222.83
  5. Step 5: Solve for x
    x = 1,136,198,222.83/37,874.98
  6. Step 6: Final answer
    x = 29,998.65

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1.5x scale

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.