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Finding the Fourth Proportional to 32,648.50, 45,054.96 and 17,744.50

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Solution

The fourth proportional to 32,648.50, 45,054.96 and 17,744.50 is: 24,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.50 : 45,054.96 = 17,744.50 : x
  2. Step 2: Convert to fraction form
    32,648.50/45,054.96 = 17,744.50/x
  3. Step 3: Cross multiply
    32,648.50x = 45,054.96 × 17,744.50
  4. Step 4: Simplify right side
    32,648.50x = 799,477,737.72
  5. Step 5: Solve for x
    x = 799,477,737.72/32,648.50
  6. Step 6: Final answer
    x = 24,487.43

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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.