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Finding the Fourth Proportional to 51,898.30, 71,621.14 and 29,237.54

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Solution

The fourth proportional to 51,898.30, 71,621.14 and 29,237.54 is: 40,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.30 : 71,621.14 = 29,237.54 : x
  2. Step 2: Convert to fraction form
    51,898.30/71,621.14 = 29,237.54/x
  3. Step 3: Cross multiply
    51,898.30x = 71,621.14 × 29,237.54
  4. Step 4: Simplify right side
    51,898.30x = 2,094,025,945.60
  5. Step 5: Solve for x
    x = 2,094,025,945.60/51,898.30
  6. Step 6: Final answer
    x = 40,348.64

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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.