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Finding the Fourth Proportional to 31,755.72, 47,640.44 and 9,567.40

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Solution

The fourth proportional to 31,755.72, 47,640.44 and 9,567.40 is: 14,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.72 : 47,640.44 = 9,567.40 : x
  2. Step 2: Convert to fraction form
    31,755.72/47,640.44 = 9,567.40/x
  3. Step 3: Cross multiply
    31,755.72x = 47,640.44 × 9,567.40
  4. Step 4: Simplify right side
    31,755.72x = 455,795,145.66
  5. Step 5: Solve for x
    x = 455,795,145.66/31,755.72
  6. Step 6: Final answer
    x = 14,353.17

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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.