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Finding the Fourth Proportional to 43,132.50, 64,698.78 and 11,967.78

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Solution

The fourth proportional to 43,132.50, 64,698.78 and 11,967.78 is: 17,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132.50 : 64,698.78 = 11,967.78 : x
  2. Step 2: Convert to fraction form
    43,132.50/64,698.78 = 11,967.78/x
  3. Step 3: Cross multiply
    43,132.50x = 64,698.78 × 11,967.78
  4. Step 4: Simplify right side
    43,132.50x = 774,300,765.31
  5. Step 5: Solve for x
    x = 774,300,765.31/43,132.50
  6. Step 6: Final answer
    x = 17,951.68

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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.