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Finding the Fourth Proportional to 33,119.86, 49,702.10 and 12,343.36

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Solution

The fourth proportional to 33,119.86, 49,702.10 and 12,343.36 is: 18,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119.86 : 49,702.10 = 12,343.36 : x
  2. Step 2: Convert to fraction form
    33,119.86/49,702.10 = 12,343.36/x
  3. Step 3: Cross multiply
    33,119.86x = 49,702.10 × 12,343.36
  4. Step 4: Simplify right side
    33,119.86x = 613,490,913.06
  5. Step 5: Solve for x
    x = 613,490,913.06/33,119.86
  6. Step 6: Final answer
    x = 18,523.35

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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.