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Finding the Fourth Proportional to 47,608.44, 65,697.84 and 26,388

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Solution

The fourth proportional to 47,608.44, 65,697.84 and 26,388 is: 36,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,608.44 : 65,697.84 = 26,388 : x
  2. Step 2: Convert to fraction form
    47,608.44/65,697.84 = 26,388/x
  3. Step 3: Cross multiply
    47,608.44x = 65,697.84 × 26,388
  4. Step 4: Simplify right side
    47,608.44x = 1,733,634,601.92
  5. Step 5: Solve for x
    x = 1,733,634,601.92/47,608.44
  6. Step 6: Final answer
    x = 36,414.44

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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.