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Finding the Fourth Proportional to 34,950.89, 52,418.90 and 9,984.31

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Solution

The fourth proportional to 34,950.89, 52,418.90 and 9,984.31 is: 14,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950.89 : 52,418.90 = 9,984.31 : x
  2. Step 2: Convert to fraction form
    34,950.89/52,418.90 = 9,984.31/x
  3. Step 3: Cross multiply
    34,950.89x = 52,418.90 × 9,984.31
  4. Step 4: Simplify right side
    34,950.89x = 523,366,680.07
  5. Step 5: Solve for x
    x = 523,366,680.07/34,950.89
  6. Step 6: Final answer
    x = 14,974.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.