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Finding the Fourth Proportional to 31,408.32, 47,112.32 and 11,686.40

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Solution

The fourth proportional to 31,408.32, 47,112.32 and 11,686.40 is: 17,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.32 : 47,112.32 = 11,686.40 : x
  2. Step 2: Convert to fraction form
    31,408.32/47,112.32 = 11,686.40/x
  3. Step 3: Cross multiply
    31,408.32x = 47,112.32 × 11,686.40
  4. Step 4: Simplify right side
    31,408.32x = 550,573,416.45
  5. Step 5: Solve for x
    x = 550,573,416.45/31,408.32
  6. Step 6: Final answer
    x = 17,529.54

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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.