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Finding the Fourth Proportional to 37,872.98, 52,264.92 and 21,966.86

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Solution

The fourth proportional to 37,872.98, 52,264.92 and 21,966.86 is: 30,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872.98 : 52,264.92 = 21,966.86 : x
  2. Step 2: Convert to fraction form
    37,872.98/52,264.92 = 21,966.86/x
  3. Step 3: Cross multiply
    37,872.98x = 52,264.92 × 21,966.86
  4. Step 4: Simplify right side
    37,872.98x = 1,148,096,180.55
  5. Step 5: Solve for x
    x = 1,148,096,180.55/37,872.98
  6. Step 6: Final answer
    x = 30,314.39

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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.