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Finding the Fourth Proportional to 32,960.75, 49,440.70 and 8,001

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Solution

The fourth proportional to 32,960.75, 49,440.70 and 8,001 is: 12,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.75 : 49,440.70 = 8,001 : x
  2. Step 2: Convert to fraction form
    32,960.75/49,440.70 = 8,001/x
  3. Step 3: Cross multiply
    32,960.75x = 49,440.70 × 8,001
  4. Step 4: Simplify right side
    32,960.75x = 395,575,040.70
  5. Step 5: Solve for x
    x = 395,575,040.70/32,960.75
  6. Step 6: Final answer
    x = 12,001.40

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1.5x scale

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.