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Finding the Fourth Proportional to 31,237.02, 46,855.44 and 7,863.44

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Solution

The fourth proportional to 31,237.02, 46,855.44 and 7,863.44 is: 11,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.02 : 46,855.44 = 7,863.44 : x
  2. Step 2: Convert to fraction form
    31,237.02/46,855.44 = 7,863.44/x
  3. Step 3: Cross multiply
    31,237.02x = 46,855.44 × 7,863.44
  4. Step 4: Simplify right side
    31,237.02x = 368,444,706.84
  5. Step 5: Solve for x
    x = 368,444,706.84/31,237.02
  6. Step 6: Final answer
    x = 11,795.13

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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.