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Finding the Fourth Proportional to 72,474.94, 108,614.40 and 32,467.42

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Solution

The fourth proportional to 72,474.94, 108,614.40 and 32,467.42 is: 48,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,474.94 : 108,614.40 = 32,467.42 : x
  2. Step 2: Convert to fraction form
    72,474.94/108,614.40 = 32,467.42/x
  3. Step 3: Cross multiply
    72,474.94x = 108,614.40 × 32,467.42
  4. Step 4: Simplify right side
    72,474.94x = 3,526,429,342.85
  5. Step 5: Solve for x
    x = 3,526,429,342.85/72,474.94
  6. Step 6: Final answer
    x = 48,657.22

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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.