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Finding the Fourth Proportional to 51,988.88, 71,741.76 and 29,331.56

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Solution

The fourth proportional to 51,988.88, 71,741.76 and 29,331.56 is: 40,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.88 : 71,741.76 = 29,331.56 : x
  2. Step 2: Convert to fraction form
    51,988.88/71,741.76 = 29,331.56/x
  3. Step 3: Cross multiply
    51,988.88x = 71,741.76 × 29,331.56
  4. Step 4: Simplify right side
    51,988.88x = 2,104,297,737.95
  5. Step 5: Solve for x
    x = 2,104,297,737.95/51,988.88
  6. Step 6: Final answer
    x = 40,475.92

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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.