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Finding the Fourth Proportional to 52,393.64, 78,610.97 and 30,194.91

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Solution

The fourth proportional to 52,393.64, 78,610.97 and 30,194.91 is: 45,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393.64 : 78,610.97 = 30,194.91 : x
  2. Step 2: Convert to fraction form
    52,393.64/78,610.97 = 30,194.91/x
  3. Step 3: Cross multiply
    52,393.64x = 78,610.97 × 30,194.91
  4. Step 4: Simplify right side
    52,393.64x = 2,373,651,239.65
  5. Step 5: Solve for x
    x = 2,373,651,239.65/52,393.64
  6. Step 6: Final answer
    x = 45,304.19

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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.