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Finding the Fourth Proportional to 77,416, 116,143.50 and 22,012

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Solution

The fourth proportional to 77,416, 116,143.50 and 22,012 is: 33,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,416 : 116,143.50 = 22,012 : x
  2. Step 2: Convert to fraction form
    77,416/116,143.50 = 22,012/x
  3. Step 3: Cross multiply
    77,416x = 116,143.50 × 22,012
  4. Step 4: Simplify right side
    77,416x = 2,556,550,722
  5. Step 5: Solve for x
    x = 2,556,550,722/77,416
  6. Step 6: Final answer
    x = 33,023.54

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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.