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Finding the Fourth Proportional to 51,503.96, 77,243.81 and 29,024.44

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Solution

The fourth proportional to 51,503.96, 77,243.81 and 29,024.44 is: 43,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.96 : 77,243.81 = 29,024.44 : x
  2. Step 2: Convert to fraction form
    51,503.96/77,243.81 = 29,024.44/x
  3. Step 3: Cross multiply
    51,503.96x = 77,243.81 × 29,024.44
  4. Step 4: Simplify right side
    51,503.96x = 2,241,958,328.72
  5. Step 5: Solve for x
    x = 2,241,958,328.72/51,503.96
  6. Step 6: Final answer
    x = 43,529.82

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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.