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Finding the Fourth Proportional to 53,909.60, 80,853.60 and 25,829.60

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Solution

The fourth proportional to 53,909.60, 80,853.60 and 25,829.60 is: 38,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,909.60 : 80,853.60 = 25,829.60 : x
  2. Step 2: Convert to fraction form
    53,909.60/80,853.60 = 25,829.60/x
  3. Step 3: Cross multiply
    53,909.60x = 80,853.60 × 25,829.60
  4. Step 4: Simplify right side
    53,909.60x = 2,088,416,146.56
  5. Step 5: Solve for x
    x = 2,088,416,146.56/53,909.60
  6. Step 6: Final answer
    x = 38,739.23

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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.