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Finding the Fourth Proportional to 31,142.32, 42,978.09 and 16,995.26

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Solution

The fourth proportional to 31,142.32, 42,978.09 and 16,995.26 is: 23,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.32 : 42,978.09 = 16,995.26 : x
  2. Step 2: Convert to fraction form
    31,142.32/42,978.09 = 16,995.26/x
  3. Step 3: Cross multiply
    31,142.32x = 42,978.09 × 16,995.26
  4. Step 4: Simplify right side
    31,142.32x = 730,423,813.85
  5. Step 5: Solve for x
    x = 730,423,813.85/31,142.32
  6. Step 6: Final answer
    x = 23,454.38

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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.