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Finding the Fourth Proportional to 77,622.96, 116,409.96 and 25,021.20

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Solution

The fourth proportional to 77,622.96, 116,409.96 and 25,021.20 is: 37,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,622.96 : 116,409.96 = 25,021.20 : x
  2. Step 2: Convert to fraction form
    77,622.96/116,409.96 = 25,021.20/x
  3. Step 3: Cross multiply
    77,622.96x = 116,409.96 × 25,021.20
  4. Step 4: Simplify right side
    77,622.96x = 2,912,716,891.15
  5. Step 5: Solve for x
    x = 2,912,716,891.15/77,622.96
  6. Step 6: Final answer
    x = 37,523.91

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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.