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Finding the Fourth Proportional to 23,978.75, 33,094.95 and 15,033.92

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Solution

The fourth proportional to 23,978.75, 33,094.95 and 15,033.92 is: 20,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.75 : 33,094.95 = 15,033.92 : x
  2. Step 2: Convert to fraction form
    23,978.75/33,094.95 = 15,033.92/x
  3. Step 3: Cross multiply
    23,978.75x = 33,094.95 × 15,033.92
  4. Step 4: Simplify right side
    23,978.75x = 497,546,830.70
  5. Step 5: Solve for x
    x = 497,546,830.70/23,978.75
  6. Step 6: Final answer
    x = 20,749.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.