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Finding the Fourth Proportional to 31,594.56, 47,396.16 and 16,004.16

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Solution

The fourth proportional to 31,594.56, 47,396.16 and 16,004.16 is: 24,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.56 : 47,396.16 = 16,004.16 : x
  2. Step 2: Convert to fraction form
    31,594.56/47,396.16 = 16,004.16/x
  3. Step 3: Cross multiply
    31,594.56x = 47,396.16 × 16,004.16
  4. Step 4: Simplify right side
    31,594.56x = 758,535,728.03
  5. Step 5: Solve for x
    x = 758,535,728.03/31,594.56
  6. Step 6: Final answer
    x = 24,008.43

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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.