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Finding the Fourth Proportional to 31,118, 46,677 and 9,230

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Solution

The fourth proportional to 31,118, 46,677 and 9,230 is: 13,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118 : 46,677 = 9,230 : x
  2. Step 2: Convert to fraction form
    31,118/46,677 = 9,230/x
  3. Step 3: Cross multiply
    31,118x = 46,677 × 9,230
  4. Step 4: Simplify right side
    31,118x = 430,828,710
  5. Step 5: Solve for x
    x = 430,828,710/31,118
  6. Step 6: Final answer
    x = 13,845

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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.