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Finding the Fourth Proportional to 34,771.60, 47,984.79 and 18,856

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Solution

The fourth proportional to 34,771.60, 47,984.79 and 18,856 is: 26,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.60 : 47,984.79 = 18,856 : x
  2. Step 2: Convert to fraction form
    34,771.60/47,984.79 = 18,856/x
  3. Step 3: Cross multiply
    34,771.60x = 47,984.79 × 18,856
  4. Step 4: Simplify right side
    34,771.60x = 904,801,200.24
  5. Step 5: Solve for x
    x = 904,801,200.24/34,771.60
  6. Step 6: Final answer
    x = 26,021.27

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