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Finding the Fourth Proportional to 30,201, 45,157.32 and 27,554.22

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Solution

The fourth proportional to 30,201, 45,157.32 and 27,554.22 is: 41,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201 : 45,157.32 = 27,554.22 : x
  2. Step 2: Convert to fraction form
    30,201/45,157.32 = 27,554.22/x
  3. Step 3: Cross multiply
    30,201x = 45,157.32 × 27,554.22
  4. Step 4: Simplify right side
    30,201x = 1,244,274,729.89
  5. Step 5: Solve for x
    x = 1,244,274,729.89/30,201
  6. Step 6: Final answer
    x = 41,199.79

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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.