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Finding the Fourth Proportional to 33,671.63, 50,505.93 and 9,978.12

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Solution

The fourth proportional to 33,671.63, 50,505.93 and 9,978.12 is: 14,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,671.63 : 50,505.93 = 9,978.12 : x
  2. Step 2: Convert to fraction form
    33,671.63/50,505.93 = 9,978.12/x
  3. Step 3: Cross multiply
    33,671.63x = 50,505.93 × 9,978.12
  4. Step 4: Simplify right side
    33,671.63x = 503,954,230.25
  5. Step 5: Solve for x
    x = 503,954,230.25/33,671.63
  6. Step 6: Final answer
    x = 14,966.73

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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.