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Finding the Fourth Proportional to 32,960.49, 49,440.36 and 8,000.82

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Solution

The fourth proportional to 32,960.49, 49,440.36 and 8,000.82 is: 12,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.49 : 49,440.36 = 8,000.82 : x
  2. Step 2: Convert to fraction form
    32,960.49/49,440.36 = 8,000.82/x
  3. Step 3: Cross multiply
    32,960.49x = 49,440.36 × 8,000.82
  4. Step 4: Simplify right side
    32,960.49x = 395,563,421.10
  5. Step 5: Solve for x
    x = 395,563,421.10/32,960.49
  6. Step 6: Final answer
    x = 12,001.14

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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.