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Finding the Fourth Proportional to 45,859.34, 63,286.23 and 29,934.38

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Solution

The fourth proportional to 45,859.34, 63,286.23 and 29,934.38 is: 41,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,859.34 : 63,286.23 = 29,934.38 : x
  2. Step 2: Convert to fraction form
    45,859.34/63,286.23 = 29,934.38/x
  3. Step 3: Cross multiply
    45,859.34x = 63,286.23 × 29,934.38
  4. Step 4: Simplify right side
    45,859.34x = 1,894,434,057.59
  5. Step 5: Solve for x
    x = 1,894,434,057.59/45,859.34
  6. Step 6: Final answer
    x = 41,309.67

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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.