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Finding the Fourth Proportional to 31,232.88, 46,845.36 and 8,745.48

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Solution

The fourth proportional to 31,232.88, 46,845.36 and 8,745.48 is: 13,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.88 : 46,845.36 = 8,745.48 : x
  2. Step 2: Convert to fraction form
    31,232.88/46,845.36 = 8,745.48/x
  3. Step 3: Cross multiply
    31,232.88x = 46,845.36 × 8,745.48
  4. Step 4: Simplify right side
    31,232.88x = 409,685,158.97
  5. Step 5: Solve for x
    x = 409,685,158.97/31,232.88
  6. Step 6: Final answer
    x = 13,117.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.