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Finding the Fourth Proportional to 30,959.22, 46,407.06 and 12,231.66

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Solution

The fourth proportional to 30,959.22, 46,407.06 and 12,231.66 is: 18,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.22 : 46,407.06 = 12,231.66 : x
  2. Step 2: Convert to fraction form
    30,959.22/46,407.06 = 12,231.66/x
  3. Step 3: Cross multiply
    30,959.22x = 46,407.06 × 12,231.66
  4. Step 4: Simplify right side
    30,959.22x = 567,635,379.52
  5. Step 5: Solve for x
    x = 567,635,379.52/30,959.22
  6. Step 6: Final answer
    x = 18,334.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.