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Finding the Fourth Proportional to 31,296.16, 46,944.27 and 7,922.60

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Solution

The fourth proportional to 31,296.16, 46,944.27 and 7,922.60 is: 11,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.16 : 46,944.27 = 7,922.60 : x
  2. Step 2: Convert to fraction form
    31,296.16/46,944.27 = 7,922.60/x
  3. Step 3: Cross multiply
    31,296.16x = 46,944.27 × 7,922.60
  4. Step 4: Simplify right side
    31,296.16x = 371,920,673.50
  5. Step 5: Solve for x
    x = 371,920,673.50/31,296.16
  6. Step 6: Final answer
    x = 11,883.91

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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.