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Finding the Fourth Proportional to 30,984.93, 46,439.31 and 14,322.42

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Solution

The fourth proportional to 30,984.93, 46,439.31 and 14,322.42 is: 21,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.93 : 46,439.31 = 14,322.42 : x
  2. Step 2: Convert to fraction form
    30,984.93/46,439.31 = 14,322.42/x
  3. Step 3: Cross multiply
    30,984.93x = 46,439.31 × 14,322.42
  4. Step 4: Simplify right side
    30,984.93x = 665,123,302.33
  5. Step 5: Solve for x
    x = 665,123,302.33/30,984.93
  6. Step 6: Final answer
    x = 21,466.03

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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.