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Finding the Fourth Proportional to 34,089.30, 47,048.97 and 21,986.38

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Solution

The fourth proportional to 34,089.30, 47,048.97 and 21,986.38 is: 30,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089.30 : 47,048.97 = 21,986.38 : x
  2. Step 2: Convert to fraction form
    34,089.30/47,048.97 = 21,986.38/x
  3. Step 3: Cross multiply
    34,089.30x = 47,048.97 × 21,986.38
  4. Step 4: Simplify right side
    34,089.30x = 1,034,436,533.03
  5. Step 5: Solve for x
    x = 1,034,436,533.03/34,089.30
  6. Step 6: Final answer
    x = 30,344.90

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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.