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Finding the Fourth Proportional to 71,648.90, 107,346.80 and 43,511.54

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Solution

The fourth proportional to 71,648.90, 107,346.80 and 43,511.54 is: 65,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.90 : 107,346.80 = 43,511.54 : x
  2. Step 2: Convert to fraction form
    71,648.90/107,346.80 = 43,511.54/x
  3. Step 3: Cross multiply
    71,648.90x = 107,346.80 × 43,511.54
  4. Step 4: Simplify right side
    71,648.90x = 4,670,824,582.07
  5. Step 5: Solve for x
    x = 4,670,824,582.07/71,648.90
  6. Step 6: Final answer
    x = 65,190.46

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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.