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Finding the Fourth Proportional to 75,763.30, 104,619.46 and 47,517.70

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Solution

The fourth proportional to 75,763.30, 104,619.46 and 47,517.70 is: 65,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763.30 : 104,619.46 = 47,517.70 : x
  2. Step 2: Convert to fraction form
    75,763.30/104,619.46 = 47,517.70/x
  3. Step 3: Cross multiply
    75,763.30x = 104,619.46 × 47,517.70
  4. Step 4: Simplify right side
    75,763.30x = 4,971,276,114.44
  5. Step 5: Solve for x
    x = 4,971,276,114.44/75,763.30
  6. Step 6: Final answer
    x = 65,615.89

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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.