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Finding the Fourth Proportional to 32,180.68, 48,233.64 and 12,177.45

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Solution

The fourth proportional to 32,180.68, 48,233.64 and 12,177.45 is: 18,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.68 : 48,233.64 = 12,177.45 : x
  2. Step 2: Convert to fraction form
    32,180.68/48,233.64 = 12,177.45/x
  3. Step 3: Cross multiply
    32,180.68x = 48,233.64 × 12,177.45
  4. Step 4: Simplify right side
    32,180.68x = 587,362,801.54
  5. Step 5: Solve for x
    x = 587,362,801.54/32,180.68
  6. Step 6: Final answer
    x = 18,252.03

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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.