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Finding the Fourth Proportional to 51,199.96, 70,655.64 and 29,974.96

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Solution

The fourth proportional to 51,199.96, 70,655.64 and 29,974.96 is: 41,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,199.96 : 70,655.64 = 29,974.96 : x
  2. Step 2: Convert to fraction form
    51,199.96/70,655.64 = 29,974.96/x
  3. Step 3: Cross multiply
    51,199.96x = 70,655.64 × 29,974.96
  4. Step 4: Simplify right side
    51,199.96x = 2,117,899,982.77
  5. Step 5: Solve for x
    x = 2,117,899,982.77/51,199.96
  6. Step 6: Final answer
    x = 41,365.27

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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.