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Finding the Fourth Proportional to 49,939.84, 74,845.14 and 20,323

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Solution

The fourth proportional to 49,939.84, 74,845.14 and 20,323 is: 30,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939.84 : 74,845.14 = 20,323 : x
  2. Step 2: Convert to fraction form
    49,939.84/74,845.14 = 20,323/x
  3. Step 3: Cross multiply
    49,939.84x = 74,845.14 × 20,323
  4. Step 4: Simplify right side
    49,939.84x = 1,521,077,780.22
  5. Step 5: Solve for x
    x = 1,521,077,780.22/49,939.84
  6. Step 6: Final answer
    x = 30,458.20

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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.