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Finding the Fourth Proportional to 31,003.36, 46,512.33 and 9,655

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Solution

The fourth proportional to 31,003.36, 46,512.33 and 9,655 is: 14,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003.36 : 46,512.33 = 9,655 : x
  2. Step 2: Convert to fraction form
    31,003.36/46,512.33 = 9,655/x
  3. Step 3: Cross multiply
    31,003.36x = 46,512.33 × 9,655
  4. Step 4: Simplify right side
    31,003.36x = 449,076,546.15
  5. Step 5: Solve for x
    x = 449,076,546.15/31,003.36
  6. Step 6: Final answer
    x = 14,484.77

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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.