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Finding the Fourth Proportional to 81,604.64, 112,611.38 and 47,613.80

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Solution

The fourth proportional to 81,604.64, 112,611.38 and 47,613.80 is: 65,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604.64 : 112,611.38 = 47,613.80 : x
  2. Step 2: Convert to fraction form
    81,604.64/112,611.38 = 47,613.80/x
  3. Step 3: Cross multiply
    81,604.64x = 112,611.38 × 47,613.80
  4. Step 4: Simplify right side
    81,604.64x = 5,361,855,725.04
  5. Step 5: Solve for x
    x = 5,361,855,725.04/81,604.64
  6. Step 6: Final answer
    x = 65,705.28

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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.