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Finding the Fourth Proportional to 32,770.20, 49,160.70 and 10,589.16

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Solution

The fourth proportional to 32,770.20, 49,160.70 and 10,589.16 is: 15,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.20 : 49,160.70 = 10,589.16 : x
  2. Step 2: Convert to fraction form
    32,770.20/49,160.70 = 10,589.16/x
  3. Step 3: Cross multiply
    32,770.20x = 49,160.70 × 10,589.16
  4. Step 4: Simplify right side
    32,770.20x = 520,570,518.01
  5. Step 5: Solve for x
    x = 520,570,518.01/32,770.20
  6. Step 6: Final answer
    x = 15,885.48

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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.