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Finding the Fourth Proportional to 31,283.46, 46,929.78 and 9,093.96

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Solution

The fourth proportional to 31,283.46, 46,929.78 and 9,093.96 is: 13,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.46 : 46,929.78 = 9,093.96 : x
  2. Step 2: Convert to fraction form
    31,283.46/46,929.78 = 9,093.96/x
  3. Step 3: Cross multiply
    31,283.46x = 46,929.78 × 9,093.96
  4. Step 4: Simplify right side
    31,283.46x = 426,777,542.13
  5. Step 5: Solve for x
    x = 426,777,542.13/31,283.46
  6. Step 6: Final answer
    x = 13,642.27

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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.