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Finding the Fourth Proportional to 32,644, 45,048.84 and 17,740

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Solution

The fourth proportional to 32,644, 45,048.84 and 17,740 is: 24,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,644 : 45,048.84 = 17,740 : x
  2. Step 2: Convert to fraction form
    32,644/45,048.84 = 17,740/x
  3. Step 3: Cross multiply
    32,644x = 45,048.84 × 17,740
  4. Step 4: Simplify right side
    32,644x = 799,166,421.60
  5. Step 5: Solve for x
    x = 799,166,421.60/32,644
  6. Step 6: Final answer
    x = 24,481.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.