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Finding the Fourth Proportional to 31,116, 46,674 and 9,228

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Solution

The fourth proportional to 31,116, 46,674 and 9,228 is: 13,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116 : 46,674 = 9,228 : x
  2. Step 2: Convert to fraction form
    31,116/46,674 = 9,228/x
  3. Step 3: Cross multiply
    31,116x = 46,674 × 9,228
  4. Step 4: Simplify right side
    31,116x = 430,707,672
  5. Step 5: Solve for x
    x = 430,707,672/31,116
  6. Step 6: Final answer
    x = 13,842

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.