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Finding the Fourth Proportional to 32,084.37, 48,131.73 and 9,892.56

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Solution

The fourth proportional to 32,084.37, 48,131.73 and 9,892.56 is: 14,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.37 : 48,131.73 = 9,892.56 : x
  2. Step 2: Convert to fraction form
    32,084.37/48,131.73 = 9,892.56/x
  3. Step 3: Cross multiply
    32,084.37x = 48,131.73 × 9,892.56
  4. Step 4: Simplify right side
    32,084.37x = 476,146,026.93
  5. Step 5: Solve for x
    x = 476,146,026.93/32,084.37
  6. Step 6: Final answer
    x = 14,840.44

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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.