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Finding the Fourth Proportional to 82,156.63, 113,305.17 and 53,465.97

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Solution

The fourth proportional to 82,156.63, 113,305.17 and 53,465.97 is: 73,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156.63 : 113,305.17 = 53,465.97 : x
  2. Step 2: Convert to fraction form
    82,156.63/113,305.17 = 53,465.97/x
  3. Step 3: Cross multiply
    82,156.63x = 113,305.17 × 53,465.97
  4. Step 4: Simplify right side
    82,156.63x = 6,057,970,820.06
  5. Step 5: Solve for x
    x = 6,057,970,820.06/82,156.63
  6. Step 6: Final answer
    x = 73,736.85

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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.