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Finding the Fourth Proportional to 49,650.42, 74,459.82 and 16,364.28

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Solution

The fourth proportional to 49,650.42, 74,459.82 and 16,364.28 is: 24,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650.42 : 74,459.82 = 16,364.28 : x
  2. Step 2: Convert to fraction form
    49,650.42/74,459.82 = 16,364.28/x
  3. Step 3: Cross multiply
    49,650.42x = 74,459.82 × 16,364.28
  4. Step 4: Simplify right side
    49,650.42x = 1,218,481,343.23
  5. Step 5: Solve for x
    x = 1,218,481,343.23/49,650.42
  6. Step 6: Final answer
    x = 24,541.21

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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.