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Finding the Fourth Proportional to 122,517.75, 183,729.03 and 47,627.98

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Solution

The fourth proportional to 122,517.75, 183,729.03 and 47,627.98 is: 71,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,517.75 : 183,729.03 = 47,627.98 : x
  2. Step 2: Convert to fraction form
    122,517.75/183,729.03 = 47,627.98/x
  3. Step 3: Cross multiply
    122,517.75x = 183,729.03 × 47,627.98
  4. Step 4: Simplify right side
    122,517.75x = 8,750,642,566.26
  5. Step 5: Solve for x
    x = 8,750,642,566.26/122,517.75
  6. Step 6: Final answer
    x = 71,423.47

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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.