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Finding the Fourth Proportional to 31,300.36, 46,952.25 and 7,927

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Solution

The fourth proportional to 31,300.36, 46,952.25 and 7,927 is: 11,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.36 : 46,952.25 = 7,927 : x
  2. Step 2: Convert to fraction form
    31,300.36/46,952.25 = 7,927/x
  3. Step 3: Cross multiply
    31,300.36x = 46,952.25 × 7,927
  4. Step 4: Simplify right side
    31,300.36x = 372,190,485.75
  5. Step 5: Solve for x
    x = 372,190,485.75/31,300.36
  6. Step 6: Final answer
    x = 11,890.93

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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.