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Finding the Fourth Proportional to 49,737.84, 74,606.75 and 16,448.96

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Solution

The fourth proportional to 49,737.84, 74,606.75 and 16,448.96 is: 24,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,737.84 : 74,606.75 = 16,448.96 : x
  2. Step 2: Convert to fraction form
    49,737.84/74,606.75 = 16,448.96/x
  3. Step 3: Cross multiply
    49,737.84x = 74,606.75 × 16,448.96
  4. Step 4: Simplify right side
    49,737.84x = 1,227,203,446.48
  5. Step 5: Solve for x
    x = 1,227,203,446.48/49,737.84
  6. Step 6: Final answer
    x = 24,673.44

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Why These Related Problems?

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