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Finding the Fourth Proportional to 32,092.41, 48,134.16 and 9,906.51

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Solution

The fourth proportional to 32,092.41, 48,134.16 and 9,906.51 is: 14,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.41 : 48,134.16 = 9,906.51 : x
  2. Step 2: Convert to fraction form
    32,092.41/48,134.16 = 9,906.51/x
  3. Step 3: Cross multiply
    32,092.41x = 48,134.16 × 9,906.51
  4. Step 4: Simplify right side
    32,092.41x = 476,841,537.38
  5. Step 5: Solve for x
    x = 476,841,537.38/32,092.41
  6. Step 6: Final answer
    x = 14,858.39

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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.