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Finding the Fourth Proportional to 51,706.72, 77,625.71 and 43,964.74

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Solution

The fourth proportional to 51,706.72, 77,625.71 and 43,964.74 is: 66,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.72 : 77,625.71 = 43,964.74 : x
  2. Step 2: Convert to fraction form
    51,706.72/77,625.71 = 43,964.74/x
  3. Step 3: Cross multiply
    51,706.72x = 77,625.71 × 43,964.74
  4. Step 4: Simplify right side
    51,706.72x = 3,412,794,199.54
  5. Step 5: Solve for x
    x = 3,412,794,199.54/51,706.72
  6. Step 6: Final answer
    x = 66,002.91

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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.