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Finding the Fourth Proportional to 31,464.49, 43,420.17 and 17,124.61

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Solution

The fourth proportional to 31,464.49, 43,420.17 and 17,124.61 is: 23,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.49 : 43,420.17 = 17,124.61 : x
  2. Step 2: Convert to fraction form
    31,464.49/43,420.17 = 17,124.61/x
  3. Step 3: Cross multiply
    31,464.49x = 43,420.17 × 17,124.61
  4. Step 4: Simplify right side
    31,464.49x = 743,553,477.38
  5. Step 5: Solve for x
    x = 743,553,477.38/31,464.49
  6. Step 6: Final answer
    x = 23,631.51

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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.