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Finding the Fourth Proportional to 97,441.88, 146,172.10 and 27,321

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Solution

The fourth proportional to 97,441.88, 146,172.10 and 27,321 is: 40,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,441.88 : 146,172.10 = 27,321 : x
  2. Step 2: Convert to fraction form
    97,441.88/146,172.10 = 27,321/x
  3. Step 3: Cross multiply
    97,441.88x = 146,172.10 × 27,321
  4. Step 4: Simplify right side
    97,441.88x = 3,993,567,944.10
  5. Step 5: Solve for x
    x = 3,993,567,944.10/97,441.88
  6. Step 6: Final answer
    x = 40,984.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.