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Finding the Fourth Proportional to 97,732.55, 146,612.80 and 31,173.44

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Solution

The fourth proportional to 97,732.55, 146,612.80 and 31,173.44 is: 46,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732.55 : 146,612.80 = 31,173.44 : x
  2. Step 2: Convert to fraction form
    97,732.55/146,612.80 = 31,173.44/x
  3. Step 3: Cross multiply
    97,732.55x = 146,612.80 × 31,173.44
  4. Step 4: Simplify right side
    97,732.55x = 4,570,425,324.03
  5. Step 5: Solve for x
    x = 4,570,425,324.03/97,732.55
  6. Step 6: Final answer
    x = 46,764.62

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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.