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Finding the Fourth Proportional to 32,429.44, 48,647.04 and 11,658.88

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Solution

The fourth proportional to 32,429.44, 48,647.04 and 11,658.88 is: 17,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.44 : 48,647.04 = 11,658.88 : x
  2. Step 2: Convert to fraction form
    32,429.44/48,647.04 = 11,658.88/x
  3. Step 3: Cross multiply
    32,429.44x = 48,647.04 × 11,658.88
  4. Step 4: Simplify right side
    32,429.44x = 567,170,001.72
  5. Step 5: Solve for x
    x = 567,170,001.72/32,429.44
  6. Step 6: Final answer
    x = 17,489.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.