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Finding the Fourth Proportional to 30,489.75, 45,687.42 and 21,147.93

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Solution

The fourth proportional to 30,489.75, 45,687.42 and 21,147.93 is: 31,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.75 : 45,687.42 = 21,147.93 : x
  2. Step 2: Convert to fraction form
    30,489.75/45,687.42 = 21,147.93/x
  3. Step 3: Cross multiply
    30,489.75x = 45,687.42 × 21,147.93
  4. Step 4: Simplify right side
    30,489.75x = 966,194,360.04
  5. Step 5: Solve for x
    x = 966,194,360.04/30,489.75
  6. Step 6: Final answer
    x = 31,689.15

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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.