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Finding the Fourth Proportional to 32,673.20, 48,980.16 and 11,882

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Solution

The fourth proportional to 32,673.20, 48,980.16 and 11,882 is: 17,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673.20 : 48,980.16 = 11,882 : x
  2. Step 2: Convert to fraction form
    32,673.20/48,980.16 = 11,882/x
  3. Step 3: Cross multiply
    32,673.20x = 48,980.16 × 11,882
  4. Step 4: Simplify right side
    32,673.20x = 581,982,261.12
  5. Step 5: Solve for x
    x = 581,982,261.12/32,673.20
  6. Step 6: Final answer
    x = 17,812.22

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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.