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Finding the Fourth Proportional to 32,754.56, 49,131.20 and 9,377.60

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Solution

The fourth proportional to 32,754.56, 49,131.20 and 9,377.60 is: 14,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.56 : 49,131.20 = 9,377.60 : x
  2. Step 2: Convert to fraction form
    32,754.56/49,131.20 = 9,377.60/x
  3. Step 3: Cross multiply
    32,754.56x = 49,131.20 × 9,377.60
  4. Step 4: Simplify right side
    32,754.56x = 460,732,741.12
  5. Step 5: Solve for x
    x = 460,732,741.12/32,754.56
  6. Step 6: Final answer
    x = 14,066.22

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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.