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Finding the Fourth Proportional to 31,994.89, 47,992.34 and 16,402.57

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Solution

The fourth proportional to 31,994.89, 47,992.34 and 16,402.57 is: 24,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.89 : 47,992.34 = 16,402.57 : x
  2. Step 2: Convert to fraction form
    31,994.89/47,992.34 = 16,402.57/x
  3. Step 3: Cross multiply
    31,994.89x = 47,992.34 × 16,402.57
  4. Step 4: Simplify right side
    31,994.89x = 787,197,716.31
  5. Step 5: Solve for x
    x = 787,197,716.31/31,994.89
  6. Step 6: Final answer
    x = 24,603.86

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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.