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Finding the Fourth Proportional to 31,188.96, 43,041.69 and 17,042.67

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Solution

The fourth proportional to 31,188.96, 43,041.69 and 17,042.67 is: 23,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,188.96 : 43,041.69 = 17,042.67 : x
  2. Step 2: Convert to fraction form
    31,188.96/43,041.69 = 17,042.67/x
  3. Step 3: Cross multiply
    31,188.96x = 43,041.69 × 17,042.67
  4. Step 4: Simplify right side
    31,188.96x = 733,545,318.91
  5. Step 5: Solve for x
    x = 733,545,318.91/31,188.96
  6. Step 6: Final answer
    x = 23,519.39

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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.