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Finding the Fourth Proportional to 32,186.88, 48,293.28 and 11,424.96

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Solution

The fourth proportional to 32,186.88, 48,293.28 and 11,424.96 is: 17,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.88 : 48,293.28 = 11,424.96 : x
  2. Step 2: Convert to fraction form
    32,186.88/48,293.28 = 11,424.96/x
  3. Step 3: Cross multiply
    32,186.88x = 48,293.28 × 11,424.96
  4. Step 4: Simplify right side
    32,186.88x = 551,748,792.27
  5. Step 5: Solve for x
    x = 551,748,792.27/32,186.88
  6. Step 6: Final answer
    x = 17,142.04

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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.