Home / 31,784.26-47,684.11-9,596.32

Finding the Fourth Proportional to 31,784.26, 47,684.11 and 9,596.32

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Solution

The fourth proportional to 31,784.26, 47,684.11 and 9,596.32 is: 14,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.26 : 47,684.11 = 9,596.32 : x
  2. Step 2: Convert to fraction form
    31,784.26/47,684.11 = 9,596.32/x
  3. Step 3: Cross multiply
    31,784.26x = 47,684.11 × 9,596.32
  4. Step 4: Simplify right side
    31,784.26x = 457,591,978.48
  5. Step 5: Solve for x
    x = 457,591,978.48/31,784.26
  6. Step 6: Final answer
    x = 14,396.81

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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.