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Finding the Fourth Proportional to 51,774.32, 77,644.92 and 16,706

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Solution

The fourth proportional to 51,774.32, 77,644.92 and 16,706 is: 25,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.32 : 77,644.92 = 16,706 : x
  2. Step 2: Convert to fraction form
    51,774.32/77,644.92 = 16,706/x
  3. Step 3: Cross multiply
    51,774.32x = 77,644.92 × 16,706
  4. Step 4: Simplify right side
    51,774.32x = 1,297,136,033.52
  5. Step 5: Solve for x
    x = 1,297,136,033.52/51,774.32
  6. Step 6: Final answer
    x = 25,053.66

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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.