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Finding the Fourth Proportional to 38,051.56, 57,101.10 and 27,379

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Solution

The fourth proportional to 38,051.56, 57,101.10 and 27,379 is: 41,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.56 : 57,101.10 = 27,379 : x
  2. Step 2: Convert to fraction form
    38,051.56/57,101.10 = 27,379/x
  3. Step 3: Cross multiply
    38,051.56x = 57,101.10 × 27,379
  4. Step 4: Simplify right side
    38,051.56x = 1,563,371,016.90
  5. Step 5: Solve for x
    x = 1,563,371,016.90/38,051.56
  6. Step 6: Final answer
    x = 41,085.60

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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.