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Finding the Fourth Proportional to 51,586.56, 77,374.80 and 16,516.80

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Solution

The fourth proportional to 51,586.56, 77,374.80 and 16,516.80 is: 24,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.56 : 77,374.80 = 16,516.80 : x
  2. Step 2: Convert to fraction form
    51,586.56/77,374.80 = 16,516.80/x
  3. Step 3: Cross multiply
    51,586.56x = 77,374.80 × 16,516.80
  4. Step 4: Simplify right side
    51,586.56x = 1,277,984,096.64
  5. Step 5: Solve for x
    x = 1,277,984,096.64/51,586.56
  6. Step 6: Final answer
    x = 24,773.59

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Why These Related Problems?

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