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Finding the Fourth Proportional to 49,735.50, 74,603.26 and 16,903.50

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Solution

The fourth proportional to 49,735.50, 74,603.26 and 16,903.50 is: 25,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735.50 : 74,603.26 = 16,903.50 : x
  2. Step 2: Convert to fraction form
    49,735.50/74,603.26 = 16,903.50/x
  3. Step 3: Cross multiply
    49,735.50x = 74,603.26 × 16,903.50
  4. Step 4: Simplify right side
    49,735.50x = 1,261,056,205.41
  5. Step 5: Solve for x
    x = 1,261,056,205.41/49,735.50
  6. Step 6: Final answer
    x = 25,355.25

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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.