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Finding the Fourth Proportional to 71,306.88, 106,924.32 and 41,733.60

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Solution

The fourth proportional to 71,306.88, 106,924.32 and 41,733.60 is: 62,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,306.88 : 106,924.32 = 41,733.60 : x
  2. Step 2: Convert to fraction form
    71,306.88/106,924.32 = 41,733.60/x
  3. Step 3: Cross multiply
    71,306.88x = 106,924.32 × 41,733.60
  4. Step 4: Simplify right side
    71,306.88x = 4,462,336,801.15
  5. Step 5: Solve for x
    x = 4,462,336,801.15/71,306.88
  6. Step 6: Final answer
    x = 62,579.33

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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.