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Finding the Fourth Proportional to 103,682.69, 155,482.18 and 40,493.78

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Solution

The fourth proportional to 103,682.69, 155,482.18 and 40,493.78 is: 60,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682.69 : 155,482.18 = 40,493.78 : x
  2. Step 2: Convert to fraction form
    103,682.69/155,482.18 = 40,493.78/x
  3. Step 3: Cross multiply
    103,682.69x = 155,482.18 × 40,493.78
  4. Step 4: Simplify right side
    103,682.69x = 6,296,061,190.84
  5. Step 5: Solve for x
    x = 6,296,061,190.84/103,682.69
  6. Step 6: Final answer
    x = 60,724.32

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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.