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Finding the Fourth Proportional to 57,583.84, 86,214.43 and 43,499.56

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Solution

The fourth proportional to 57,583.84, 86,214.43 and 43,499.56 is: 65,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.84 : 86,214.43 = 43,499.56 : x
  2. Step 2: Convert to fraction form
    57,583.84/86,214.43 = 43,499.56/x
  3. Step 3: Cross multiply
    57,583.84x = 86,214.43 × 43,499.56
  4. Step 4: Simplify right side
    57,583.84x = 3,750,289,770.65
  5. Step 5: Solve for x
    x = 3,750,289,770.65/57,583.84
  6. Step 6: Final answer
    x = 65,127.47

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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.