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Finding the Fourth Proportional to 97,451.44, 146,177.16 and 23,579.44

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Solution

The fourth proportional to 97,451.44, 146,177.16 and 23,579.44 is: 35,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,451.44 : 146,177.16 = 23,579.44 : x
  2. Step 2: Convert to fraction form
    97,451.44/146,177.16 = 23,579.44/x
  3. Step 3: Cross multiply
    97,451.44x = 146,177.16 × 23,579.44
  4. Step 4: Simplify right side
    97,451.44x = 3,446,775,119.72
  5. Step 5: Solve for x
    x = 3,446,775,119.72/97,451.44
  6. Step 6: Final answer
    x = 35,369.16

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1.5x scale

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.