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Finding the Fourth Proportional to 31,071, 46,606.26 and 18,594.48

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Solution

The fourth proportional to 31,071, 46,606.26 and 18,594.48 is: 27,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071 : 46,606.26 = 18,594.48 : x
  2. Step 2: Convert to fraction form
    31,071/46,606.26 = 18,594.48/x
  3. Step 3: Cross multiply
    31,071x = 46,606.26 × 18,594.48
  4. Step 4: Simplify right side
    31,071x = 866,619,169.44
  5. Step 5: Solve for x
    x = 866,619,169.44/31,071
  6. Step 6: Final answer
    x = 27,891.58

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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.