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Finding the Fourth Proportional to 51,710.67, 71,360.69 and 29,354.67

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Solution

The fourth proportional to 51,710.67, 71,360.69 and 29,354.67 is: 40,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.67 : 71,360.69 = 29,354.67 : x
  2. Step 2: Convert to fraction form
    51,710.67/71,360.69 = 29,354.67/x
  3. Step 3: Cross multiply
    51,710.67x = 71,360.69 × 29,354.67
  4. Step 4: Simplify right side
    51,710.67x = 2,094,769,359.15
  5. Step 5: Solve for x
    x = 2,094,769,359.15/51,710.67
  6. Step 6: Final answer
    x = 40,509.42

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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.