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Finding the Fourth Proportional to 77,589.50, 116,391 and 21,429.68

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Solution

The fourth proportional to 77,589.50, 116,391 and 21,429.68 is: 32,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,589.50 : 116,391 = 21,429.68 : x
  2. Step 2: Convert to fraction form
    77,589.50/116,391 = 21,429.68/x
  3. Step 3: Cross multiply
    77,589.50x = 116,391 × 21,429.68
  4. Step 4: Simplify right side
    77,589.50x = 2,494,221,884.88
  5. Step 5: Solve for x
    x = 2,494,221,884.88/77,589.50
  6. Step 6: Final answer
    x = 32,146.38

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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.