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Finding the Fourth Proportional to 45,917, 68,887.06 and 13,085

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Solution

The fourth proportional to 45,917, 68,887.06 and 13,085 is: 19,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,917 : 68,887.06 = 13,085 : x
  2. Step 2: Convert to fraction form
    45,917/68,887.06 = 13,085/x
  3. Step 3: Cross multiply
    45,917x = 68,887.06 × 13,085
  4. Step 4: Simplify right side
    45,917x = 901,387,180.10
  5. Step 5: Solve for x
    x = 901,387,180.10/45,917
  6. Step 6: Final answer
    x = 19,630.79

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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.