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Finding the Fourth Proportional to 31,176.36, 46,745.88 and 14,540.16

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Solution

The fourth proportional to 31,176.36, 46,745.88 and 14,540.16 is: 21,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.36 : 46,745.88 = 14,540.16 : x
  2. Step 2: Convert to fraction form
    31,176.36/46,745.88 = 14,540.16/x
  3. Step 3: Cross multiply
    31,176.36x = 46,745.88 × 14,540.16
  4. Step 4: Simplify right side
    31,176.36x = 679,692,574.54
  5. Step 5: Solve for x
    x = 679,692,574.54/31,176.36
  6. Step 6: Final answer
    x = 21,801.54

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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.