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Finding the Fourth Proportional to 36,633.60, 54,957.60 and 13,259.52

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Solution

The fourth proportional to 36,633.60, 54,957.60 and 13,259.52 is: 19,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633.60 : 54,957.60 = 13,259.52 : x
  2. Step 2: Convert to fraction form
    36,633.60/54,957.60 = 13,259.52/x
  3. Step 3: Cross multiply
    36,633.60x = 54,957.60 × 13,259.52
  4. Step 4: Simplify right side
    36,633.60x = 728,711,396.35
  5. Step 5: Solve for x
    x = 728,711,396.35/36,633.60
  6. Step 6: Final answer
    x = 19,891.89

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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.