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Finding the Fourth Proportional to 57,582.84, 86,212.94 and 43,498.56

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Solution

The fourth proportional to 57,582.84, 86,212.94 and 43,498.56 is: 65,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.84 : 86,212.94 = 43,498.56 : x
  2. Step 2: Convert to fraction form
    57,582.84/86,212.94 = 43,498.56/x
  3. Step 3: Cross multiply
    57,582.84x = 86,212.94 × 43,498.56
  4. Step 4: Simplify right side
    57,582.84x = 3,750,138,525.87
  5. Step 5: Solve for x
    x = 3,750,138,525.87/57,582.84
  6. Step 6: Final answer
    x = 65,125.97

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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.