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Finding the Fourth Proportional to 71,651.50, 98,881.06 and 41,433.90

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Solution

The fourth proportional to 71,651.50, 98,881.06 and 41,433.90 is: 57,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,651.50 : 98,881.06 = 41,433.90 : x
  2. Step 2: Convert to fraction form
    71,651.50/98,881.06 = 41,433.90/x
  3. Step 3: Cross multiply
    71,651.50x = 98,881.06 × 41,433.90
  4. Step 4: Simplify right side
    71,651.50x = 4,097,027,951.93
  5. Step 5: Solve for x
    x = 4,097,027,951.93/71,651.50
  6. Step 6: Final answer
    x = 57,179.93

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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.