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Finding the Fourth Proportional to 82,893.65, 114,393.30 and 45,167.90

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Solution

The fourth proportional to 82,893.65, 114,393.30 and 45,167.90 is: 62,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.65 : 114,393.30 = 45,167.90 : x
  2. Step 2: Convert to fraction form
    82,893.65/114,393.30 = 45,167.90/x
  3. Step 3: Cross multiply
    82,893.65x = 114,393.30 × 45,167.90
  4. Step 4: Simplify right side
    82,893.65x = 5,166,904,393.72
  5. Step 5: Solve for x
    x = 5,166,904,393.72/82,893.65
  6. Step 6: Final answer
    x = 62,331.73

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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.