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Finding the Fourth Proportional to 34,509.60, 51,764.40 and 33,991.20

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Solution

The fourth proportional to 34,509.60, 51,764.40 and 33,991.20 is: 50,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.60 : 51,764.40 = 33,991.20 : x
  2. Step 2: Convert to fraction form
    34,509.60/51,764.40 = 33,991.20/x
  3. Step 3: Cross multiply
    34,509.60x = 51,764.40 × 33,991.20
  4. Step 4: Simplify right side
    34,509.60x = 1,759,534,073.28
  5. Step 5: Solve for x
    x = 1,759,534,073.28/34,509.60
  6. Step 6: Final answer
    x = 50,986.80

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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.