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Finding the Fourth Proportional to 32,270.64, 48,415.68 and 11,491.44

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Solution

The fourth proportional to 32,270.64, 48,415.68 and 11,491.44 is: 17,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.64 : 48,415.68 = 11,491.44 : x
  2. Step 2: Convert to fraction form
    32,270.64/48,415.68 = 11,491.44/x
  3. Step 3: Cross multiply
    32,270.64x = 48,415.68 × 11,491.44
  4. Step 4: Simplify right side
    32,270.64x = 556,365,881.78
  5. Step 5: Solve for x
    x = 556,365,881.78/32,270.64
  6. Step 6: Final answer
    x = 17,240.62

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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.