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Finding the Fourth Proportional to 80,847.98, 111,573.60 and 45,038

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Solution

The fourth proportional to 80,847.98, 111,573.60 and 45,038 is: 62,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,847.98 : 111,573.60 = 45,038 : x
  2. Step 2: Convert to fraction form
    80,847.98/111,573.60 = 45,038/x
  3. Step 3: Cross multiply
    80,847.98x = 111,573.60 × 45,038
  4. Step 4: Simplify right side
    80,847.98x = 5,025,051,796.80
  5. Step 5: Solve for x
    x = 5,025,051,796.80/80,847.98
  6. Step 6: Final answer
    x = 62,154.33

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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.