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Finding the Fourth Proportional to 31,333, 46,997.28 and 14,696.82

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Solution

The fourth proportional to 31,333, 46,997.28 and 14,696.82 is: 22,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333 : 46,997.28 = 14,696.82 : x
  2. Step 2: Convert to fraction form
    31,333/46,997.28 = 14,696.82/x
  3. Step 3: Cross multiply
    31,333x = 46,997.28 × 14,696.82
  4. Step 4: Simplify right side
    31,333x = 690,710,564.65
  5. Step 5: Solve for x
    x = 690,710,564.65/31,333
  6. Step 6: Final answer
    x = 22,044.19

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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.