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Finding the Fourth Proportional to 51,301.24, 76,978.94 and 36,404.62

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Solution

The fourth proportional to 51,301.24, 76,978.94 and 36,404.62 is: 54,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,301.24 : 76,978.94 = 36,404.62 : x
  2. Step 2: Convert to fraction form
    51,301.24/76,978.94 = 36,404.62/x
  3. Step 3: Cross multiply
    51,301.24x = 76,978.94 × 36,404.62
  4. Step 4: Simplify right side
    51,301.24x = 2,802,389,058.70
  5. Step 5: Solve for x
    x = 2,802,389,058.70/51,301.24
  6. Step 6: Final answer
    x = 54,626.15

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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.