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Finding the Fourth Proportional to 82,669.96, 113,978.90 and 53,546.92

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Solution

The fourth proportional to 82,669.96, 113,978.90 and 53,546.92 is: 73,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,669.96 : 113,978.90 = 53,546.92 : x
  2. Step 2: Convert to fraction form
    82,669.96/113,978.90 = 53,546.92/x
  3. Step 3: Cross multiply
    82,669.96x = 113,978.90 × 53,546.92
  4. Step 4: Simplify right side
    82,669.96x = 6,103,219,039.99
  5. Step 5: Solve for x
    x = 6,103,219,039.99/82,669.96
  6. Step 6: Final answer
    x = 73,826.32

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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.