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Finding the Fourth Proportional to 51,773.16, 77,640.06 and 16,707.56

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Solution

The fourth proportional to 51,773.16, 77,640.06 and 16,707.56 is: 25,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.16 : 77,640.06 = 16,707.56 : x
  2. Step 2: Convert to fraction form
    51,773.16/77,640.06 = 16,707.56/x
  3. Step 3: Cross multiply
    51,773.16x = 77,640.06 × 16,707.56
  4. Step 4: Simplify right side
    51,773.16x = 1,297,175,960.85
  5. Step 5: Solve for x
    x = 1,297,175,960.85/51,773.16
  6. Step 6: Final answer
    x = 25,054.99

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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.