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Finding the Fourth Proportional to 32,846.52, 49,262.10 and 10,654.20

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Solution

The fourth proportional to 32,846.52, 49,262.10 and 10,654.20 is: 15,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.52 : 49,262.10 = 10,654.20 : x
  2. Step 2: Convert to fraction form
    32,846.52/49,262.10 = 10,654.20/x
  3. Step 3: Cross multiply
    32,846.52x = 49,262.10 × 10,654.20
  4. Step 4: Simplify right side
    32,846.52x = 524,848,265.82
  5. Step 5: Solve for x
    x = 524,848,265.82/32,846.52
  6. Step 6: Final answer
    x = 15,978.81

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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.