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Finding the Fourth Proportional to 31,402.08, 47,143.11 and 20,355.00

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Solution

The fourth proportional to 31,402.08, 47,143.11 and 20,355.00 is: 30,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.08 : 47,143.11 = 20,355.00 : x
  2. Step 2: Convert to fraction form
    31,402.08/47,143.11 = 20,355.00/x
  3. Step 3: Cross multiply
    31,402.08x = 47,143.11 × 20,355.00
  4. Step 4: Simplify right side
    31,402.08x = 959,597,903.59
  5. Step 5: Solve for x
    x = 959,597,903.59/31,402.08
  6. Step 6: Final answer
    x = 30,558.42

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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.