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Finding the Fourth Proportional to 82,893.27, 114,392.73 and 45,167.52

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Solution

The fourth proportional to 82,893.27, 114,392.73 and 45,167.52 is: 62,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.27 : 114,392.73 = 45,167.52 : x
  2. Step 2: Convert to fraction form
    82,893.27/114,392.73 = 45,167.52/x
  3. Step 3: Cross multiply
    82,893.27x = 114,392.73 × 45,167.52
  4. Step 4: Simplify right side
    82,893.27x = 5,166,835,920.13
  5. Step 5: Solve for x
    x = 5,166,835,920.13/82,893.27
  6. Step 6: Final answer
    x = 62,331.19

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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.