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Finding the Fourth Proportional to 36,112.64, 49,848 and 24,819.60

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Solution

The fourth proportional to 36,112.64, 49,848 and 24,819.60 is: 34,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,112.64 : 49,848 = 24,819.60 : x
  2. Step 2: Convert to fraction form
    36,112.64/49,848 = 24,819.60/x
  3. Step 3: Cross multiply
    36,112.64x = 49,848 × 24,819.60
  4. Step 4: Simplify right side
    36,112.64x = 1,237,207,420.80
  5. Step 5: Solve for x
    x = 1,237,207,420.80/36,112.64
  6. Step 6: Final answer
    x = 34,259.68

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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.