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Finding the Fourth Proportional to 30,644.48, 45,966.72 and 8,457.12

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Solution

The fourth proportional to 30,644.48, 45,966.72 and 8,457.12 is: 12,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.48 : 45,966.72 = 8,457.12 : x
  2. Step 2: Convert to fraction form
    30,644.48/45,966.72 = 8,457.12/x
  3. Step 3: Cross multiply
    30,644.48x = 45,966.72 × 8,457.12
  4. Step 4: Simplify right side
    30,644.48x = 388,746,067.05
  5. Step 5: Solve for x
    x = 388,746,067.05/30,644.48
  6. Step 6: Final answer
    x = 12,685.68

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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.