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Finding the Fourth Proportional to 56,571.63, 84,825 and 23,314.65

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Solution

The fourth proportional to 56,571.63, 84,825 and 23,314.65 is: 34,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,571.63 : 84,825 = 23,314.65 : x
  2. Step 2: Convert to fraction form
    56,571.63/84,825 = 23,314.65/x
  3. Step 3: Cross multiply
    56,571.63x = 84,825 × 23,314.65
  4. Step 4: Simplify right side
    56,571.63x = 1,977,665,186.25
  5. Step 5: Solve for x
    x = 1,977,665,186.25/56,571.63
  6. Step 6: Final answer
    x = 34,958.60

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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.