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Finding the Fourth Proportional to 33,145.12, 49,716.06 and 12,367

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Solution

The fourth proportional to 33,145.12, 49,716.06 and 12,367 is: 18,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,145.12 : 49,716.06 = 12,367 : x
  2. Step 2: Convert to fraction form
    33,145.12/49,716.06 = 12,367/x
  3. Step 3: Cross multiply
    33,145.12x = 49,716.06 × 12,367
  4. Step 4: Simplify right side
    33,145.12x = 614,838,514.02
  5. Step 5: Solve for x
    x = 614,838,514.02/33,145.12
  6. Step 6: Final answer
    x = 18,549.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.