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Finding the Fourth Proportional to 51,344.34, 70,855.73 and 30,123.96

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Solution

The fourth proportional to 51,344.34, 70,855.73 and 30,123.96 is: 41,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344.34 : 70,855.73 = 30,123.96 : x
  2. Step 2: Convert to fraction form
    51,344.34/70,855.73 = 30,123.96/x
  3. Step 3: Cross multiply
    51,344.34x = 70,855.73 × 30,123.96
  4. Step 4: Simplify right side
    51,344.34x = 2,134,455,176.29
  5. Step 5: Solve for x
    x = 2,134,455,176.29/51,344.34
  6. Step 6: Final answer
    x = 41,571.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.