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Finding the Fourth Proportional to 31,178.52, 46,767.87 and 7,804.94

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Solution

The fourth proportional to 31,178.52, 46,767.87 and 7,804.94 is: 11,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.52 : 46,767.87 = 7,804.94 : x
  2. Step 2: Convert to fraction form
    31,178.52/46,767.87 = 7,804.94/x
  3. Step 3: Cross multiply
    31,178.52x = 46,767.87 × 7,804.94
  4. Step 4: Simplify right side
    31,178.52x = 365,020,185.44
  5. Step 5: Solve for x
    x = 365,020,185.44/31,178.52
  6. Step 6: Final answer
    x = 11,707.43

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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.