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Finding the Fourth Proportional to 37,872.56, 56,817.05 and 14,499

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Solution

The fourth proportional to 37,872.56, 56,817.05 and 14,499 is: 21,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872.56 : 56,817.05 = 14,499 : x
  2. Step 2: Convert to fraction form
    37,872.56/56,817.05 = 14,499/x
  3. Step 3: Cross multiply
    37,872.56x = 56,817.05 × 14,499
  4. Step 4: Simplify right side
    37,872.56x = 823,790,335.46
  5. Step 5: Solve for x
    x = 823,790,335.46/37,872.56
  6. Step 6: Final answer
    x = 21,751.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.