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Finding the Fourth Proportional to 51,672.36, 77,508.96 and 14,234.50

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Solution

The fourth proportional to 51,672.36, 77,508.96 and 14,234.50 is: 21,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,672.36 : 77,508.96 = 14,234.50 : x
  2. Step 2: Convert to fraction form
    51,672.36/77,508.96 = 14,234.50/x
  3. Step 3: Cross multiply
    51,672.36x = 77,508.96 × 14,234.50
  4. Step 4: Simplify right side
    51,672.36x = 1,103,301,291.12
  5. Step 5: Solve for x
    x = 1,103,301,291.12/51,672.36
  6. Step 6: Final answer
    x = 21,351.87

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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.