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Finding the Fourth Proportional to 30,419.68, 45,631.14 and 9,644.80

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Solution

The fourth proportional to 30,419.68, 45,631.14 and 9,644.80 is: 14,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.68 : 45,631.14 = 9,644.80 : x
  2. Step 2: Convert to fraction form
    30,419.68/45,631.14 = 9,644.80/x
  3. Step 3: Cross multiply
    30,419.68x = 45,631.14 × 9,644.80
  4. Step 4: Simplify right side
    30,419.68x = 440,103,219.07
  5. Step 5: Solve for x
    x = 440,103,219.07/30,419.68
  6. Step 6: Final answer
    x = 14,467.71

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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.