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Finding the Fourth Proportional to 71,735.96, 107,582.06 and 57,662.60

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Solution

The fourth proportional to 71,735.96, 107,582.06 and 57,662.60 is: 86,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.96 : 107,582.06 = 57,662.60 : x
  2. Step 2: Convert to fraction form
    71,735.96/107,582.06 = 57,662.60/x
  3. Step 3: Cross multiply
    71,735.96x = 107,582.06 × 57,662.60
  4. Step 4: Simplify right side
    71,735.96x = 6,203,461,292.96
  5. Step 5: Solve for x
    x = 6,203,461,292.96/71,735.96
  6. Step 6: Final answer
    x = 86,476.31

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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.