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Finding the Fourth Proportional to 76,349.93, 114,469.52 and 51,327.90

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Solution

The fourth proportional to 76,349.93, 114,469.52 and 51,327.90 is: 76,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,349.93 : 114,469.52 = 51,327.90 : x
  2. Step 2: Convert to fraction form
    76,349.93/114,469.52 = 51,327.90/x
  3. Step 3: Cross multiply
    76,349.93x = 114,469.52 × 51,327.90
  4. Step 4: Simplify right side
    76,349.93x = 5,875,479,818.97
  5. Step 5: Solve for x
    x = 5,875,479,818.97/76,349.93
  6. Step 6: Final answer
    x = 76,954.62

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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.