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Finding the Fourth Proportional to 59,584.80, 82,220.94 and 35,711.04

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Solution

The fourth proportional to 59,584.80, 82,220.94 and 35,711.04 is: 49,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,584.80 : 82,220.94 = 35,711.04 : x
  2. Step 2: Convert to fraction form
    59,584.80/82,220.94 = 35,711.04/x
  3. Step 3: Cross multiply
    59,584.80x = 82,220.94 × 35,711.04
  4. Step 4: Simplify right side
    59,584.80x = 2,936,195,277.18
  5. Step 5: Solve for x
    x = 2,936,195,277.18/59,584.80
  6. Step 6: Final answer
    x = 49,277.59

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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.