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Finding the Fourth Proportional to 77,544, 116,320.32 and 22,144.32

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Solution

The fourth proportional to 77,544, 116,320.32 and 22,144.32 is: 33,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544 : 116,320.32 = 22,144.32 : x
  2. Step 2: Convert to fraction form
    77,544/116,320.32 = 22,144.32/x
  3. Step 3: Cross multiply
    77,544x = 116,320.32 × 22,144.32
  4. Step 4: Simplify right side
    77,544x = 2,575,834,388.58
  5. Step 5: Solve for x
    x = 2,575,834,388.58/77,544
  6. Step 6: Final answer
    x = 33,217.71

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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.