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Finding the Fourth Proportional to 82,733.31, 114,109.41 and 57,282.28

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Solution

The fourth proportional to 82,733.31, 114,109.41 and 57,282.28 is: 79,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,733.31 : 114,109.41 = 57,282.28 : x
  2. Step 2: Convert to fraction form
    82,733.31/114,109.41 = 57,282.28/x
  3. Step 3: Cross multiply
    82,733.31x = 114,109.41 × 57,282.28
  4. Step 4: Simplify right side
    82,733.31x = 6,536,447,103.79
  5. Step 5: Solve for x
    x = 6,536,447,103.79/82,733.31
  6. Step 6: Final answer
    x = 79,006.23

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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.