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Finding the Fourth Proportional to 30,267.84, 41,765.68 and 16,836.44

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Solution

The fourth proportional to 30,267.84, 41,765.68 and 16,836.44 is: 23,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.84 : 41,765.68 = 16,836.44 : x
  2. Step 2: Convert to fraction form
    30,267.84/41,765.68 = 16,836.44/x
  3. Step 3: Cross multiply
    30,267.84x = 41,765.68 × 16,836.44
  4. Step 4: Simplify right side
    30,267.84x = 703,185,365.38
  5. Step 5: Solve for x
    x = 703,185,365.38/30,267.84
  6. Step 6: Final answer
    x = 23,232.10

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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.