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Finding the Fourth Proportional to 32,847.40, 45,329.40 and 17,740.06

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Solution

The fourth proportional to 32,847.40, 45,329.40 and 17,740.06 is: 24,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.40 : 45,329.40 = 17,740.06 : x
  2. Step 2: Convert to fraction form
    32,847.40/45,329.40 = 17,740.06/x
  3. Step 3: Cross multiply
    32,847.40x = 45,329.40 × 17,740.06
  4. Step 4: Simplify right side
    32,847.40x = 804,146,049.12
  5. Step 5: Solve for x
    x = 804,146,049.12/32,847.40
  6. Step 6: Final answer
    x = 24,481.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.