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Finding the Fourth Proportional to 32,842.31, 49,270.39 and 10,653.96

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Solution

The fourth proportional to 32,842.31, 49,270.39 and 10,653.96 is: 15,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.31 : 49,270.39 = 10,653.96 : x
  2. Step 2: Convert to fraction form
    32,842.31/49,270.39 = 10,653.96/x
  3. Step 3: Cross multiply
    32,842.31x = 49,270.39 × 10,653.96
  4. Step 4: Simplify right side
    32,842.31x = 524,924,464.62
  5. Step 5: Solve for x
    x = 524,924,464.62/32,842.31
  6. Step 6: Final answer
    x = 15,983.18

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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.