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Finding the Fourth Proportional to 28,049.49, 42,044.67 and 9,324.50

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Solution

The fourth proportional to 28,049.49, 42,044.67 and 9,324.50 is: 13,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049.49 : 42,044.67 = 9,324.50 : x
  2. Step 2: Convert to fraction form
    28,049.49/42,044.67 = 9,324.50/x
  3. Step 3: Cross multiply
    28,049.49x = 42,044.67 × 9,324.50
  4. Step 4: Simplify right side
    28,049.49x = 392,045,315.19
  5. Step 5: Solve for x
    x = 392,045,315.19/28,049.49
  6. Step 6: Final answer
    x = 13,976.91

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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.