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Finding the Fourth Proportional to 50,814.56, 70,122.84 and 29,597.96

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Solution

The fourth proportional to 50,814.56, 70,122.84 and 29,597.96 is: 40,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814.56 : 70,122.84 = 29,597.96 : x
  2. Step 2: Convert to fraction form
    50,814.56/70,122.84 = 29,597.96/x
  3. Step 3: Cross multiply
    50,814.56x = 70,122.84 × 29,597.96
  4. Step 4: Simplify right side
    50,814.56x = 2,075,493,013.41
  5. Step 5: Solve for x
    x = 2,075,493,013.41/50,814.56
  6. Step 6: Final answer
    x = 40,844.46

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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.