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Finding the Fourth Proportional to 32,106.42, 48,147.65 and 11,040.50

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Solution

The fourth proportional to 32,106.42, 48,147.65 and 11,040.50 is: 16,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106.42 : 48,147.65 = 11,040.50 : x
  2. Step 2: Convert to fraction form
    32,106.42/48,147.65 = 11,040.50/x
  3. Step 3: Cross multiply
    32,106.42x = 48,147.65 × 11,040.50
  4. Step 4: Simplify right side
    32,106.42x = 531,573,833.88
  5. Step 5: Solve for x
    x = 531,573,833.88/32,106.42
  6. Step 6: Final answer
    x = 16,556.62

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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.