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Finding the Fourth Proportional to 32,983.94, 45,520.16 and 18,643.88

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Solution

The fourth proportional to 32,983.94, 45,520.16 and 18,643.88 is: 25,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.94 : 45,520.16 = 18,643.88 : x
  2. Step 2: Convert to fraction form
    32,983.94/45,520.16 = 18,643.88/x
  3. Step 3: Cross multiply
    32,983.94x = 45,520.16 × 18,643.88
  4. Step 4: Simplify right side
    32,983.94x = 848,672,398.05
  5. Step 5: Solve for x
    x = 848,672,398.05/32,983.94
  6. Step 6: Final answer
    x = 25,729.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.