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Finding the Fourth Proportional to 73,077.68, 109,627.96 and 30,957.86

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Solution

The fourth proportional to 73,077.68, 109,627.96 and 30,957.86 is: 46,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.68 : 109,627.96 = 30,957.86 : x
  2. Step 2: Convert to fraction form
    73,077.68/109,627.96 = 30,957.86/x
  3. Step 3: Cross multiply
    73,077.68x = 109,627.96 × 30,957.86
  4. Step 4: Simplify right side
    73,077.68x = 3,393,847,037.77
  5. Step 5: Solve for x
    x = 3,393,847,037.77/73,077.68
  6. Step 6: Final answer
    x = 46,441.64

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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.