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Finding the Fourth Proportional to 51,032.30, 70,393.46 and 35,898.26

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Solution

The fourth proportional to 51,032.30, 70,393.46 and 35,898.26 is: 49,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032.30 : 70,393.46 = 35,898.26 : x
  2. Step 2: Convert to fraction form
    51,032.30/70,393.46 = 35,898.26/x
  3. Step 3: Cross multiply
    51,032.30x = 70,393.46 × 35,898.26
  4. Step 4: Simplify right side
    51,032.30x = 2,527,002,729.38
  5. Step 5: Solve for x
    x = 2,527,002,729.38/51,032.30
  6. Step 6: Final answer
    x = 49,517.71

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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.