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Finding the Fourth Proportional to 103,740.98, 155,555.78 and 32,650.32

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Solution

The fourth proportional to 103,740.98, 155,555.78 and 32,650.32 is: 48,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740.98 : 155,555.78 = 32,650.32 : x
  2. Step 2: Convert to fraction form
    103,740.98/155,555.78 = 32,650.32/x
  3. Step 3: Cross multiply
    103,740.98x = 155,555.78 × 32,650.32
  4. Step 4: Simplify right side
    103,740.98x = 5,078,945,994.85
  5. Step 5: Solve for x
    x = 5,078,945,994.85/103,740.98
  6. Step 6: Final answer
    x = 48,957.95

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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.