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Finding the Fourth Proportional to 31,054.98, 46,584.26 and 8,866.65

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Solution

The fourth proportional to 31,054.98, 46,584.26 and 8,866.65 is: 13,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.98 : 46,584.26 = 8,866.65 : x
  2. Step 2: Convert to fraction form
    31,054.98/46,584.26 = 8,866.65/x
  3. Step 3: Cross multiply
    31,054.98x = 46,584.26 × 8,866.65
  4. Step 4: Simplify right side
    31,054.98x = 413,046,351.10
  5. Step 5: Solve for x
    x = 413,046,351.10/31,054.98
  6. Step 6: Final answer
    x = 13,300.49

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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.