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Finding the Fourth Proportional to 84,513.94, 126,790.92 and 27,587.54

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Solution

The fourth proportional to 84,513.94, 126,790.92 and 27,587.54 is: 41,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,513.94 : 126,790.92 = 27,587.54 : x
  2. Step 2: Convert to fraction form
    84,513.94/126,790.92 = 27,587.54/x
  3. Step 3: Cross multiply
    84,513.94x = 126,790.92 × 27,587.54
  4. Step 4: Simplify right side
    84,513.94x = 3,497,849,894.11
  5. Step 5: Solve for x
    x = 3,497,849,894.11/84,513.94
  6. Step 6: Final answer
    x = 41,387.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.