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Finding the Fourth Proportional to 57,768.70, 86,653.05 and 51,207.70

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Solution

The fourth proportional to 57,768.70, 86,653.05 and 51,207.70 is: 76,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,768.70 : 86,653.05 = 51,207.70 : x
  2. Step 2: Convert to fraction form
    57,768.70/86,653.05 = 51,207.70/x
  3. Step 3: Cross multiply
    57,768.70x = 86,653.05 × 51,207.70
  4. Step 4: Simplify right side
    57,768.70x = 4,437,303,388.49
  5. Step 5: Solve for x
    x = 4,437,303,388.49/57,768.70
  6. Step 6: Final answer
    x = 76,811.55

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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.