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Finding the Fourth Proportional to 51,447.70, 77,177.09 and 16,379.16

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Solution

The fourth proportional to 51,447.70, 77,177.09 and 16,379.16 is: 24,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,447.70 : 77,177.09 = 16,379.16 : x
  2. Step 2: Convert to fraction form
    51,447.70/77,177.09 = 16,379.16/x
  3. Step 3: Cross multiply
    51,447.70x = 77,177.09 × 16,379.16
  4. Step 4: Simplify right side
    51,447.70x = 1,264,095,905.44
  5. Step 5: Solve for x
    x = 1,264,095,905.44/51,447.70
  6. Step 6: Final answer
    x = 24,570.50

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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.