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Finding the Fourth Proportional to 80,037.42, 110,454 and 47,790.96

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Solution

The fourth proportional to 80,037.42, 110,454 and 47,790.96 is: 65,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,037.42 : 110,454 = 47,790.96 : x
  2. Step 2: Convert to fraction form
    80,037.42/110,454 = 47,790.96/x
  3. Step 3: Cross multiply
    80,037.42x = 110,454 × 47,790.96
  4. Step 4: Simplify right side
    80,037.42x = 5,278,702,695.84
  5. Step 5: Solve for x
    x = 5,278,702,695.84/80,037.42
  6. Step 6: Final answer
    x = 65,952.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.