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Finding the Fourth Proportional to 31,190.83, 43,041.45 and 17,762.65

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Solution

The fourth proportional to 31,190.83, 43,041.45 and 17,762.65 is: 24,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,190.83 : 43,041.45 = 17,762.65 : x
  2. Step 2: Convert to fraction form
    31,190.83/43,041.45 = 17,762.65/x
  3. Step 3: Cross multiply
    31,190.83x = 43,041.45 × 17,762.65
  4. Step 4: Simplify right side
    31,190.83x = 764,530,211.84
  5. Step 5: Solve for x
    x = 764,530,211.84/31,190.83
  6. Step 6: Final answer
    x = 24,511.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.