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Finding the Fourth Proportional to 30,644.69, 45,969.68 and 8,458.07

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Solution

The fourth proportional to 30,644.69, 45,969.68 and 8,458.07 is: 12,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.69 : 45,969.68 = 8,458.07 : x
  2. Step 2: Convert to fraction form
    30,644.69/45,969.68 = 8,458.07/x
  3. Step 3: Cross multiply
    30,644.69x = 45,969.68 × 8,458.07
  4. Step 4: Simplify right side
    30,644.69x = 388,814,771.32
  5. Step 5: Solve for x
    x = 388,814,771.32/30,644.69
  6. Step 6: Final answer
    x = 12,687.84

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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.