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Finding the Fourth Proportional to 81,540, 112,537.50 and 49,727.35

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Solution

The fourth proportional to 81,540, 112,537.50 and 49,727.35 is: 68,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 112,537.50 = 49,727.35 : x
  2. Step 2: Convert to fraction form
    81,540/112,537.50 = 49,727.35/x
  3. Step 3: Cross multiply
    81,540x = 112,537.50 × 49,727.35
  4. Step 4: Simplify right side
    81,540x = 5,596,191,650.63
  5. Step 5: Solve for x
    x = 5,596,191,650.63/81,540
  6. Step 6: Final answer
    x = 68,631.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.