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Finding the Fourth Proportional to 82,492.96, 113,770 and 55,600.12

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Solution

The fourth proportional to 82,492.96, 113,770 and 55,600.12 is: 76,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,492.96 : 113,770 = 55,600.12 : x
  2. Step 2: Convert to fraction form
    82,492.96/113,770 = 55,600.12/x
  3. Step 3: Cross multiply
    82,492.96x = 113,770 × 55,600.12
  4. Step 4: Simplify right side
    82,492.96x = 6,325,625,652.40
  5. Step 5: Solve for x
    x = 6,325,625,652.40/82,492.96
  6. Step 6: Final answer
    x = 76,680.79

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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.