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Finding the Fourth Proportional to 53,536.80, 80,305.20 and 49,648.80

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Solution

The fourth proportional to 53,536.80, 80,305.20 and 49,648.80 is: 74,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.80 : 80,305.20 = 49,648.80 : x
  2. Step 2: Convert to fraction form
    53,536.80/80,305.20 = 49,648.80/x
  3. Step 3: Cross multiply
    53,536.80x = 80,305.20 × 49,648.80
  4. Step 4: Simplify right side
    53,536.80x = 3,987,056,813.76
  5. Step 5: Solve for x
    x = 3,987,056,813.76/53,536.80
  6. Step 6: Final answer
    x = 74,473.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.