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Finding the Fourth Proportional to 103,245.97, 154,777.20 and 36,677.32

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Solution

The fourth proportional to 103,245.97, 154,777.20 and 36,677.32 is: 54,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,245.97 : 154,777.20 = 36,677.32 : x
  2. Step 2: Convert to fraction form
    103,245.97/154,777.20 = 36,677.32/x
  3. Step 3: Cross multiply
    103,245.97x = 154,777.20 × 36,677.32
  4. Step 4: Simplify right side
    103,245.97x = 5,676,812,893.10
  5. Step 5: Solve for x
    x = 5,676,812,893.10/103,245.97
  6. Step 6: Final answer
    x = 54,983.38

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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.