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Finding the Fourth Proportional to 31,298.52, 46,705.11 and 27,975

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Solution

The fourth proportional to 31,298.52, 46,705.11 and 27,975 is: 41,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.52 : 46,705.11 = 27,975 : x
  2. Step 2: Convert to fraction form
    31,298.52/46,705.11 = 27,975/x
  3. Step 3: Cross multiply
    31,298.52x = 46,705.11 × 27,975
  4. Step 4: Simplify right side
    31,298.52x = 1,306,575,452.25
  5. Step 5: Solve for x
    x = 1,306,575,452.25/31,298.52
  6. Step 6: Final answer
    x = 41,745.60

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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.