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Finding the Fourth Proportional to 51,437.70, 77,162.09 and 16,369.16

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Solution

The fourth proportional to 51,437.70, 77,162.09 and 16,369.16 is: 24,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437.70 : 77,162.09 = 16,369.16 : x
  2. Step 2: Convert to fraction form
    51,437.70/77,162.09 = 16,369.16/x
  3. Step 3: Cross multiply
    51,437.70x = 77,162.09 × 16,369.16
  4. Step 4: Simplify right side
    51,437.70x = 1,263,078,129.49
  5. Step 5: Solve for x
    x = 1,263,078,129.49/51,437.70
  6. Step 6: Final answer
    x = 24,555.49

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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.