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Finding the Fourth Proportional to 30,431.71, 45,644.99 and 10,439.56

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Solution

The fourth proportional to 30,431.71, 45,644.99 and 10,439.56 is: 15,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.71 : 45,644.99 = 10,439.56 : x
  2. Step 2: Convert to fraction form
    30,431.71/45,644.99 = 10,439.56/x
  3. Step 3: Cross multiply
    30,431.71x = 45,644.99 × 10,439.56
  4. Step 4: Simplify right side
    30,431.71x = 476,513,523.79
  5. Step 5: Solve for x
    x = 476,513,523.79/30,431.71
  6. Step 6: Final answer
    x = 15,658.46

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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.