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Finding the Fourth Proportional to 31,206.04, 46,567.55 and 27,883

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Solution

The fourth proportional to 31,206.04, 46,567.55 and 27,883 is: 41,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.04 : 46,567.55 = 27,883 : x
  2. Step 2: Convert to fraction form
    31,206.04/46,567.55 = 27,883/x
  3. Step 3: Cross multiply
    31,206.04x = 46,567.55 × 27,883
  4. Step 4: Simplify right side
    31,206.04x = 1,298,442,996.65
  5. Step 5: Solve for x
    x = 1,298,442,996.65/31,206.04
  6. Step 6: Final answer
    x = 41,608.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.