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Finding the Fourth Proportional to 52,082.33, 71,878.04 and 29,425.49

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Solution

The fourth proportional to 52,082.33, 71,878.04 and 29,425.49 is: 40,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.33 : 71,878.04 = 29,425.49 : x
  2. Step 2: Convert to fraction form
    52,082.33/71,878.04 = 29,425.49/x
  3. Step 3: Cross multiply
    52,082.33x = 71,878.04 × 29,425.49
  4. Step 4: Simplify right side
    52,082.33x = 2,115,046,261.41
  5. Step 5: Solve for x
    x = 2,115,046,261.41/52,082.33
  6. Step 6: Final answer
    x = 40,609.67

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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.