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Finding the Fourth Proportional to 36,960, 55,440.48 and 12,336

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Solution

The fourth proportional to 36,960, 55,440.48 and 12,336 is: 18,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 55,440.48 = 12,336 : x
  2. Step 2: Convert to fraction form
    36,960/55,440.48 = 12,336/x
  3. Step 3: Cross multiply
    36,960x = 55,440.48 × 12,336
  4. Step 4: Simplify right side
    36,960x = 683,913,761.28
  5. Step 5: Solve for x
    x = 683,913,761.28/36,960
  6. Step 6: Final answer
    x = 18,504.16

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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.