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Finding the Fourth Proportional to 51,843.56, 77,749.68 and 14,394.56

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Solution

The fourth proportional to 51,843.56, 77,749.68 and 14,394.56 is: 21,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843.56 : 77,749.68 = 14,394.56 : x
  2. Step 2: Convert to fraction form
    51,843.56/77,749.68 = 14,394.56/x
  3. Step 3: Cross multiply
    51,843.56x = 77,749.68 × 14,394.56
  4. Step 4: Simplify right side
    51,843.56x = 1,119,172,433.74
  5. Step 5: Solve for x
    x = 1,119,172,433.74/51,843.56
  6. Step 6: Final answer
    x = 21,587.49

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