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Finding the Fourth Proportional to 32,847.50, 45,329.55 and 17,740.16

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Solution

The fourth proportional to 32,847.50, 45,329.55 and 17,740.16 is: 24,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.50 : 45,329.55 = 17,740.16 : x
  2. Step 2: Convert to fraction form
    32,847.50/45,329.55 = 17,740.16/x
  3. Step 3: Cross multiply
    32,847.50x = 45,329.55 × 17,740.16
  4. Step 4: Simplify right side
    32,847.50x = 804,153,651.41
  5. Step 5: Solve for x
    x = 804,153,651.41/32,847.50
  6. Step 6: Final answer
    x = 24,481.42

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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.