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Finding the Fourth Proportional to 82,917.29, 114,428.92 and 47,113.37

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Solution

The fourth proportional to 82,917.29, 114,428.92 and 47,113.37 is: 65,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917.29 : 114,428.92 = 47,113.37 : x
  2. Step 2: Convert to fraction form
    82,917.29/114,428.92 = 47,113.37/x
  3. Step 3: Cross multiply
    82,917.29x = 114,428.92 × 47,113.37
  4. Step 4: Simplify right side
    82,917.29x = 5,391,132,046.66
  5. Step 5: Solve for x
    x = 5,391,132,046.66/82,917.29
  6. Step 6: Final answer
    x = 65,018.19

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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.