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Finding the Fourth Proportional to 30,851.44, 46,215.46 and 14,188.66

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Solution

The fourth proportional to 30,851.44, 46,215.46 and 14,188.66 is: 21,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.44 : 46,215.46 = 14,188.66 : x
  2. Step 2: Convert to fraction form
    30,851.44/46,215.46 = 14,188.66/x
  3. Step 3: Cross multiply
    30,851.44x = 46,215.46 × 14,188.66
  4. Step 4: Simplify right side
    30,851.44x = 655,735,448.68
  5. Step 5: Solve for x
    x = 655,735,448.68/30,851.44
  6. Step 6: Final answer
    x = 21,254.61

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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.