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Finding the Fourth Proportional to 85,486.50, 117,967.86 and 49,676.22

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Solution

The fourth proportional to 85,486.50, 117,967.86 and 49,676.22 is: 68,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,486.50 : 117,967.86 = 49,676.22 : x
  2. Step 2: Convert to fraction form
    85,486.50/117,967.86 = 49,676.22/x
  3. Step 3: Cross multiply
    85,486.50x = 117,967.86 × 49,676.22
  4. Step 4: Simplify right side
    85,486.50x = 5,860,197,366.29
  5. Step 5: Solve for x
    x = 5,860,197,366.29/85,486.50
  6. Step 6: Final answer
    x = 68,551.14

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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.