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Finding the Fourth Proportional to 53,706.53, 80,582.56 and 28,740.11

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Solution

The fourth proportional to 53,706.53, 80,582.56 and 28,740.11 is: 43,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706.53 : 80,582.56 = 28,740.11 : x
  2. Step 2: Convert to fraction form
    53,706.53/80,582.56 = 28,740.11/x
  3. Step 3: Cross multiply
    53,706.53x = 80,582.56 × 28,740.11
  4. Step 4: Simplify right side
    53,706.53x = 2,315,951,163.72
  5. Step 5: Solve for x
    x = 2,315,951,163.72/53,706.53
  6. Step 6: Final answer
    x = 43,122.34

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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.