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Finding the Fourth Proportional to 97,481.30, 146,121.15 and 53,014.10

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Solution

The fourth proportional to 97,481.30, 146,121.15 and 53,014.10 is: 79,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481.30 : 146,121.15 = 53,014.10 : x
  2. Step 2: Convert to fraction form
    97,481.30/146,121.15 = 53,014.10/x
  3. Step 3: Cross multiply
    97,481.30x = 146,121.15 × 53,014.10
  4. Step 4: Simplify right side
    97,481.30x = 7,746,481,258.22
  5. Step 5: Solve for x
    x = 7,746,481,258.22/97,481.30
  6. Step 6: Final answer
    x = 79,466.33

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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.