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Finding the Fourth Proportional to 53,967.60, 80,821.80 and 26,233.20

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Solution

The fourth proportional to 53,967.60, 80,821.80 and 26,233.20 is: 39,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,967.60 : 80,821.80 = 26,233.20 : x
  2. Step 2: Convert to fraction form
    53,967.60/80,821.80 = 26,233.20/x
  3. Step 3: Cross multiply
    53,967.60x = 80,821.80 × 26,233.20
  4. Step 4: Simplify right side
    53,967.60x = 2,120,214,443.76
  5. Step 5: Solve for x
    x = 2,120,214,443.76/53,967.60
  6. Step 6: Final answer
    x = 39,286.80

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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.