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Finding the Fourth Proportional to 32,907.31, 49,370.54 and 11,846.97

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Solution

The fourth proportional to 32,907.31, 49,370.54 and 11,846.97 is: 17,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.31 : 49,370.54 = 11,846.97 : x
  2. Step 2: Convert to fraction form
    32,907.31/49,370.54 = 11,846.97/x
  3. Step 3: Cross multiply
    32,907.31x = 49,370.54 × 11,846.97
  4. Step 4: Simplify right side
    32,907.31x = 584,891,247.03
  5. Step 5: Solve for x
    x = 584,891,247.03/32,907.31
  6. Step 6: Final answer
    x = 17,773.90

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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.