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Finding the Fourth Proportional to 45,912.84, 68,811.72 and 19,586.76

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Solution

The fourth proportional to 45,912.84, 68,811.72 and 19,586.76 is: 29,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,912.84 : 68,811.72 = 19,586.76 : x
  2. Step 2: Convert to fraction form
    45,912.84/68,811.72 = 19,586.76/x
  3. Step 3: Cross multiply
    45,912.84x = 68,811.72 × 19,586.76
  4. Step 4: Simplify right side
    45,912.84x = 1,347,798,644.83
  5. Step 5: Solve for x
    x = 1,347,798,644.83/45,912.84
  6. Step 6: Final answer
    x = 29,355.59

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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.