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Finding the Fourth Proportional to 32,189.56, 48,282.46 and 8,814.28

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Solution

The fourth proportional to 32,189.56, 48,282.46 and 8,814.28 is: 13,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.56 : 48,282.46 = 8,814.28 : x
  2. Step 2: Convert to fraction form
    32,189.56/48,282.46 = 8,814.28/x
  3. Step 3: Cross multiply
    32,189.56x = 48,282.46 × 8,814.28
  4. Step 4: Simplify right side
    32,189.56x = 425,575,121.53
  5. Step 5: Solve for x
    x = 425,575,121.53/32,189.56
  6. Step 6: Final answer
    x = 13,220.91

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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.