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Finding the Fourth Proportional to 82,716.29, 114,057.30 and 57,178.32

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Solution

The fourth proportional to 82,716.29, 114,057.30 and 57,178.32 is: 78,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.29 : 114,057.30 = 57,178.32 : x
  2. Step 2: Convert to fraction form
    82,716.29/114,057.30 = 57,178.32/x
  3. Step 3: Cross multiply
    82,716.29x = 114,057.30 × 57,178.32
  4. Step 4: Simplify right side
    82,716.29x = 6,521,604,904.38
  5. Step 5: Solve for x
    x = 6,521,604,904.38/82,716.29
  6. Step 6: Final answer
    x = 78,843.06

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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.