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Finding the Fourth Proportional to 51,772.16, 77,638.56 and 16,706.56

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Solution

The fourth proportional to 51,772.16, 77,638.56 and 16,706.56 is: 25,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.16 : 77,638.56 = 16,706.56 : x
  2. Step 2: Convert to fraction form
    51,772.16/77,638.56 = 16,706.56/x
  3. Step 3: Cross multiply
    51,772.16x = 77,638.56 × 16,706.56
  4. Step 4: Simplify right side
    51,772.16x = 1,297,073,260.95
  5. Step 5: Solve for x
    x = 1,297,073,260.95/51,772.16
  6. Step 6: Final answer
    x = 25,053.49

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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.