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Finding the Fourth Proportional to 31,408.87, 47,094.85 and 12,689.50

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Solution

The fourth proportional to 31,408.87, 47,094.85 and 12,689.50 is: 19,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.87 : 47,094.85 = 12,689.50 : x
  2. Step 2: Convert to fraction form
    31,408.87/47,094.85 = 12,689.50/x
  3. Step 3: Cross multiply
    31,408.87x = 47,094.85 × 12,689.50
  4. Step 4: Simplify right side
    31,408.87x = 597,609,831.88
  5. Step 5: Solve for x
    x = 597,609,831.88/31,408.87
  6. Step 6: Final answer
    x = 19,026.79

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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.