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Finding the Fourth Proportional to 32,049.04, 47,978.90 and 23,673.44

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Solution

The fourth proportional to 32,049.04, 47,978.90 and 23,673.44 is: 35,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.04 : 47,978.90 = 23,673.44 : x
  2. Step 2: Convert to fraction form
    32,049.04/47,978.90 = 23,673.44/x
  3. Step 3: Cross multiply
    32,049.04x = 47,978.90 × 23,673.44
  4. Step 4: Simplify right side
    32,049.04x = 1,135,825,610.42
  5. Step 5: Solve for x
    x = 1,135,825,610.42/32,049.04
  6. Step 6: Final answer
    x = 35,440.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.