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Finding the Fourth Proportional to 71,170.88, 106,774.86 and 26,798

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Solution

The fourth proportional to 71,170.88, 106,774.86 and 26,798 is: 40,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,170.88 : 106,774.86 = 26,798 : x
  2. Step 2: Convert to fraction form
    71,170.88/106,774.86 = 26,798/x
  3. Step 3: Cross multiply
    71,170.88x = 106,774.86 × 26,798
  4. Step 4: Simplify right side
    71,170.88x = 2,861,352,698.28
  5. Step 5: Solve for x
    x = 2,861,352,698.28/71,170.88
  6. Step 6: Final answer
    x = 40,203.98

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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.