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Finding the Fourth Proportional to 32,840.70, 49,273.20 and 10,654.80

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Solution

The fourth proportional to 32,840.70, 49,273.20 and 10,654.80 is: 15,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.70 : 49,273.20 = 10,654.80 : x
  2. Step 2: Convert to fraction form
    32,840.70/49,273.20 = 10,654.80/x
  3. Step 3: Cross multiply
    32,840.70x = 49,273.20 × 10,654.80
  4. Step 4: Simplify right side
    32,840.70x = 524,996,091.36
  5. Step 5: Solve for x
    x = 524,996,091.36/32,840.70
  6. Step 6: Final answer
    x = 15,986.14

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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.