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Finding the Fourth Proportional to 72,940.86, 109,454.34 and 30,818.21

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Solution

The fourth proportional to 72,940.86, 109,454.34 and 30,818.21 is: 46,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,940.86 : 109,454.34 = 30,818.21 : x
  2. Step 2: Convert to fraction form
    72,940.86/109,454.34 = 30,818.21/x
  3. Step 3: Cross multiply
    72,940.86x = 109,454.34 × 30,818.21
  4. Step 4: Simplify right side
    72,940.86x = 3,373,186,835.53
  5. Step 5: Solve for x
    x = 3,373,186,835.53/72,940.86
  6. Step 6: Final answer
    x = 46,245.50

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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.