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Finding the Fourth Proportional to 82,588.29, 113,979.81 and 46,295.88

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Solution

The fourth proportional to 82,588.29, 113,979.81 and 46,295.88 is: 63,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588.29 : 113,979.81 = 46,295.88 : x
  2. Step 2: Convert to fraction form
    82,588.29/113,979.81 = 46,295.88/x
  3. Step 3: Cross multiply
    82,588.29x = 113,979.81 × 46,295.88
  4. Step 4: Simplify right side
    82,588.29x = 5,276,795,606.18
  5. Step 5: Solve for x
    x = 5,276,795,606.18/82,588.29
  6. Step 6: Final answer
    x = 63,892.78

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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.