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Finding the Fourth Proportional to 71,273.10, 106,807.16 and 31,243.70

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Solution

The fourth proportional to 71,273.10, 106,807.16 and 31,243.70 is: 46,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,273.10 : 106,807.16 = 31,243.70 : x
  2. Step 2: Convert to fraction form
    71,273.10/106,807.16 = 31,243.70/x
  3. Step 3: Cross multiply
    71,273.10x = 106,807.16 × 31,243.70
  4. Step 4: Simplify right side
    71,273.10x = 3,337,050,864.89
  5. Step 5: Solve for x
    x = 3,337,050,864.89/71,273.10
  6. Step 6: Final answer
    x = 46,820.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.