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Finding the Fourth Proportional to 31,296.95, 46,945.62 and 7,923.38

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Solution

The fourth proportional to 31,296.95, 46,945.62 and 7,923.38 is: 11,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.95 : 46,945.62 = 7,923.38 : x
  2. Step 2: Convert to fraction form
    31,296.95/46,945.62 = 7,923.38/x
  3. Step 3: Cross multiply
    31,296.95x = 46,945.62 × 7,923.38
  4. Step 4: Simplify right side
    31,296.95x = 371,967,751.87
  5. Step 5: Solve for x
    x = 371,967,751.87/31,296.95
  6. Step 6: Final answer
    x = 11,885.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.