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Finding the Fourth Proportional to 31,182.90, 46,745.18 and 11,456.16

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Solution

The fourth proportional to 31,182.90, 46,745.18 and 11,456.16 is: 17,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.90 : 46,745.18 = 11,456.16 : x
  2. Step 2: Convert to fraction form
    31,182.90/46,745.18 = 11,456.16/x
  3. Step 3: Cross multiply
    31,182.90x = 46,745.18 × 11,456.16
  4. Step 4: Simplify right side
    31,182.90x = 535,520,261.31
  5. Step 5: Solve for x
    x = 535,520,261.31/31,182.90
  6. Step 6: Final answer
    x = 17,173.52

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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.