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Finding the Fourth Proportional to 33,762.78, 50,649.93 and 10,388.70

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Solution

The fourth proportional to 33,762.78, 50,649.93 and 10,388.70 is: 15,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762.78 : 50,649.93 = 10,388.70 : x
  2. Step 2: Convert to fraction form
    33,762.78/50,649.93 = 10,388.70/x
  3. Step 3: Cross multiply
    33,762.78x = 50,649.93 × 10,388.70
  4. Step 4: Simplify right side
    33,762.78x = 526,186,927.79
  5. Step 5: Solve for x
    x = 526,186,927.79/33,762.78
  6. Step 6: Final answer
    x = 15,584.82

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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.