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Finding the Fourth Proportional to 34,771.52, 47,984.69 and 18,856

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Solution

The fourth proportional to 34,771.52, 47,984.69 and 18,856 is: 26,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.52 : 47,984.69 = 18,856 : x
  2. Step 2: Convert to fraction form
    34,771.52/47,984.69 = 18,856/x
  3. Step 3: Cross multiply
    34,771.52x = 47,984.69 × 18,856
  4. Step 4: Simplify right side
    34,771.52x = 904,799,314.64
  5. Step 5: Solve for x
    x = 904,799,314.64/34,771.52
  6. Step 6: Final answer
    x = 26,021.28

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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.