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Finding the Fourth Proportional to 72,821.86, 109,060.46 and 46,446.64

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Solution

The fourth proportional to 72,821.86, 109,060.46 and 46,446.64 is: 69,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.86 : 109,060.46 = 46,446.64 : x
  2. Step 2: Convert to fraction form
    72,821.86/109,060.46 = 46,446.64/x
  3. Step 3: Cross multiply
    72,821.86x = 109,060.46 × 46,446.64
  4. Step 4: Simplify right side
    72,821.86x = 5,065,491,923.85
  5. Step 5: Solve for x
    x = 5,065,491,923.85/72,821.86
  6. Step 6: Final answer
    x = 69,560.05

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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.