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Finding the Fourth Proportional to 78,718.50, 118,019.42 and 47,546.46

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Solution

The fourth proportional to 78,718.50, 118,019.42 and 47,546.46 is: 71,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718.50 : 118,019.42 = 47,546.46 : x
  2. Step 2: Convert to fraction form
    78,718.50/118,019.42 = 47,546.46/x
  3. Step 3: Cross multiply
    78,718.50x = 118,019.42 × 47,546.46
  4. Step 4: Simplify right side
    78,718.50x = 5,611,405,632.25
  5. Step 5: Solve for x
    x = 5,611,405,632.25/78,718.50
  6. Step 6: Final answer
    x = 71,284.46

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