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Finding the Fourth Proportional to 80,409.60, 110,947.84 and 46,871.04

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Solution

The fourth proportional to 80,409.60, 110,947.84 and 46,871.04 is: 64,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.60 : 110,947.84 = 46,871.04 : x
  2. Step 2: Convert to fraction form
    80,409.60/110,947.84 = 46,871.04/x
  3. Step 3: Cross multiply
    80,409.60x = 110,947.84 × 46,871.04
  4. Step 4: Simplify right side
    80,409.60x = 5,200,240,646.55
  5. Step 5: Solve for x
    x = 5,200,240,646.55/80,409.60
  6. Step 6: Final answer
    x = 64,671.89

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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.