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Finding the Fourth Proportional to 31,062.56, 46,576.07 and 14,414.03

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Solution

The fourth proportional to 31,062.56, 46,576.07 and 14,414.03 is: 21,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.56 : 46,576.07 = 14,414.03 : x
  2. Step 2: Convert to fraction form
    31,062.56/46,576.07 = 14,414.03/x
  3. Step 3: Cross multiply
    31,062.56x = 46,576.07 × 14,414.03
  4. Step 4: Simplify right side
    31,062.56x = 671,348,673.42
  5. Step 5: Solve for x
    x = 671,348,673.42/31,062.56
  6. Step 6: Final answer
    x = 21,612.79

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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.