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Finding the Fourth Proportional to 97,574.64, 146,245.44 and 50,212.44

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Solution

The fourth proportional to 97,574.64, 146,245.44 and 50,212.44 is: 75,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,574.64 : 146,245.44 = 50,212.44 : x
  2. Step 2: Convert to fraction form
    97,574.64/146,245.44 = 50,212.44/x
  3. Step 3: Cross multiply
    97,574.64x = 146,245.44 × 50,212.44
  4. Step 4: Simplify right side
    97,574.64x = 7,343,340,381.27
  5. Step 5: Solve for x
    x = 7,343,340,381.27/97,574.64
  6. Step 6: Final answer
    x = 75,258.70

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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.