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Finding the Fourth Proportional to 97,616.52, 146,447.31 and 41,458.44

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Solution

The fourth proportional to 97,616.52, 146,447.31 and 41,458.44 is: 62,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,616.52 : 146,447.31 = 41,458.44 : x
  2. Step 2: Convert to fraction form
    97,616.52/146,447.31 = 41,458.44/x
  3. Step 3: Cross multiply
    97,616.52x = 146,447.31 × 41,458.44
  4. Step 4: Simplify right side
    97,616.52x = 6,071,477,014.80
  5. Step 5: Solve for x
    x = 6,071,477,014.80/97,616.52
  6. Step 6: Final answer
    x = 62,197.23

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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.