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Finding the Fourth Proportional to 32,890.94, 49,339.52 and 9,198.48

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Solution

The fourth proportional to 32,890.94, 49,339.52 and 9,198.48 is: 13,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,890.94 : 49,339.52 = 9,198.48 : x
  2. Step 2: Convert to fraction form
    32,890.94/49,339.52 = 9,198.48/x
  3. Step 3: Cross multiply
    32,890.94x = 49,339.52 × 9,198.48
  4. Step 4: Simplify right side
    32,890.94x = 453,848,541.94
  5. Step 5: Solve for x
    x = 453,848,541.94/32,890.94
  6. Step 6: Final answer
    x = 13,798.59

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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.