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Finding the Fourth Proportional to 30,451.25, 45,684.17 and 9,674.75

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Solution

The fourth proportional to 30,451.25, 45,684.17 and 9,674.75 is: 14,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,451.25 : 45,684.17 = 9,674.75 : x
  2. Step 2: Convert to fraction form
    30,451.25/45,684.17 = 9,674.75/x
  3. Step 3: Cross multiply
    30,451.25x = 45,684.17 × 9,674.75
  4. Step 4: Simplify right side
    30,451.25x = 441,982,923.71
  5. Step 5: Solve for x
    x = 441,982,923.71/30,451.25
  6. Step 6: Final answer
    x = 14,514.44

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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.