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Finding the Fourth Proportional to 97,393.64, 146,096.00 and 27,278.42

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Solution

The fourth proportional to 97,393.64, 146,096.00 and 27,278.42 is: 40,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,393.64 : 146,096.00 = 27,278.42 : x
  2. Step 2: Convert to fraction form
    97,393.64/146,096.00 = 27,278.42/x
  3. Step 3: Cross multiply
    97,393.64x = 146,096.00 × 27,278.42
  4. Step 4: Simplify right side
    97,393.64x = 3,985,268,258.97
  5. Step 5: Solve for x
    x = 3,985,268,258.97/97,393.64
  6. Step 6: Final answer
    x = 40,919.18

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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.