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Finding the Fourth Proportional to 34,231.90, 47,214.75 and 21,644.50

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Solution

The fourth proportional to 34,231.90, 47,214.75 and 21,644.50 is: 29,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.90 : 47,214.75 = 21,644.50 : x
  2. Step 2: Convert to fraction form
    34,231.90/47,214.75 = 21,644.50/x
  3. Step 3: Cross multiply
    34,231.90x = 47,214.75 × 21,644.50
  4. Step 4: Simplify right side
    34,231.90x = 1,021,939,656.38
  5. Step 5: Solve for x
    x = 1,021,939,656.38/34,231.90
  6. Step 6: Final answer
    x = 29,853.43

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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.