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Finding the Fourth Proportional to 36,645.60, 54,968.40 and 13,269

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Solution

The fourth proportional to 36,645.60, 54,968.40 and 13,269 is: 19,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,645.60 : 54,968.40 = 13,269 : x
  2. Step 2: Convert to fraction form
    36,645.60/54,968.40 = 13,269/x
  3. Step 3: Cross multiply
    36,645.60x = 54,968.40 × 13,269
  4. Step 4: Simplify right side
    36,645.60x = 729,375,699.60
  5. Step 5: Solve for x
    x = 729,375,699.60/36,645.60
  6. Step 6: Final answer
    x = 19,903.50

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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.