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Finding the Fourth Proportional to 57,787.16, 86,674.53 and 39,186.59

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Solution

The fourth proportional to 57,787.16, 86,674.53 and 39,186.59 is: 58,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.16 : 86,674.53 = 39,186.59 : x
  2. Step 2: Convert to fraction form
    57,787.16/86,674.53 = 39,186.59/x
  3. Step 3: Cross multiply
    57,787.16x = 86,674.53 × 39,186.59
  4. Step 4: Simplify right side
    57,787.16x = 3,396,479,270.55
  5. Step 5: Solve for x
    x = 3,396,479,270.55/57,787.16
  6. Step 6: Final answer
    x = 58,775.67

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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.