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Finding the Fourth Proportional to 31,284.97, 46,927.46 and 7,911.41

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Solution

The fourth proportional to 31,284.97, 46,927.46 and 7,911.41 is: 11,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284.97 : 46,927.46 = 7,911.41 : x
  2. Step 2: Convert to fraction form
    31,284.97/46,927.46 = 7,911.41/x
  3. Step 3: Cross multiply
    31,284.97x = 46,927.46 × 7,911.41
  4. Step 4: Simplify right side
    31,284.97x = 371,262,376.32
  5. Step 5: Solve for x
    x = 371,262,376.32/31,284.97
  6. Step 6: Final answer
    x = 11,867.12

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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.