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Finding the Fourth Proportional to 31,124, 46,686 and 9,236

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Solution

The fourth proportional to 31,124, 46,686 and 9,236 is: 13,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124 : 46,686 = 9,236 : x
  2. Step 2: Convert to fraction form
    31,124/46,686 = 9,236/x
  3. Step 3: Cross multiply
    31,124x = 46,686 × 9,236
  4. Step 4: Simplify right side
    31,124x = 431,191,896
  5. Step 5: Solve for x
    x = 431,191,896/31,124
  6. Step 6: Final answer
    x = 13,854

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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.