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Finding the Fourth Proportional to 103,633.50, 155,454.30 and 32,604.60

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Solution

The fourth proportional to 103,633.50, 155,454.30 and 32,604.60 is: 48,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633.50 : 155,454.30 = 32,604.60 : x
  2. Step 2: Convert to fraction form
    103,633.50/155,454.30 = 32,604.60/x
  3. Step 3: Cross multiply
    103,633.50x = 155,454.30 × 32,604.60
  4. Step 4: Simplify right side
    103,633.50x = 5,068,525,269.78
  5. Step 5: Solve for x
    x = 5,068,525,269.78/103,633.50
  6. Step 6: Final answer
    x = 48,908.17

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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.