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Finding the Fourth Proportional to 33,762.64, 50,649.90 and 12,984.52

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Solution

The fourth proportional to 33,762.64, 50,649.90 and 12,984.52 is: 19,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762.64 : 50,649.90 = 12,984.52 : x
  2. Step 2: Convert to fraction form
    33,762.64/50,649.90 = 12,984.52/x
  3. Step 3: Cross multiply
    33,762.64x = 50,649.90 × 12,984.52
  4. Step 4: Simplify right side
    33,762.64x = 657,664,639.55
  5. Step 5: Solve for x
    x = 657,664,639.55/33,762.64
  6. Step 6: Final answer
    x = 19,479.06

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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.