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Finding the Fourth Proportional to 78,716.50, 118,016.42 and 47,544.46

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Solution

The fourth proportional to 78,716.50, 118,016.42 and 47,544.46 is: 71,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716.50 : 118,016.42 = 47,544.46 : x
  2. Step 2: Convert to fraction form
    78,716.50/118,016.42 = 47,544.46/x
  3. Step 3: Cross multiply
    78,716.50x = 118,016.42 × 47,544.46
  4. Step 4: Simplify right side
    78,716.50x = 5,611,026,960.03
  5. Step 5: Solve for x
    x = 5,611,026,960.03/78,716.50
  6. Step 6: Final answer
    x = 71,281.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.