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Finding the Fourth Proportional to 53,829.60, 80,758.80 and 38,277.60

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Solution

The fourth proportional to 53,829.60, 80,758.80 and 38,277.60 is: 57,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829.60 : 80,758.80 = 38,277.60 : x
  2. Step 2: Convert to fraction form
    53,829.60/80,758.80 = 38,277.60/x
  3. Step 3: Cross multiply
    53,829.60x = 80,758.80 × 38,277.60
  4. Step 4: Simplify right side
    53,829.60x = 3,091,253,042.88
  5. Step 5: Solve for x
    x = 3,091,253,042.88/53,829.60
  6. Step 6: Final answer
    x = 57,426.64

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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.