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Finding the Fourth Proportional to 51,174.64, 70,644.72 and 36,079.60

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Solution

The fourth proportional to 51,174.64, 70,644.72 and 36,079.60 is: 49,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174.64 : 70,644.72 = 36,079.60 : x
  2. Step 2: Convert to fraction form
    51,174.64/70,644.72 = 36,079.60/x
  3. Step 3: Cross multiply
    51,174.64x = 70,644.72 × 36,079.60
  4. Step 4: Simplify right side
    51,174.64x = 2,548,833,239.71
  5. Step 5: Solve for x
    x = 2,548,833,239.71/51,174.64
  6. Step 6: Final answer
    x = 49,806.57

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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.