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Finding the Fourth Proportional to 52,321.44, 72,180.72 and 34,393.44

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Solution

The fourth proportional to 52,321.44, 72,180.72 and 34,393.44 is: 47,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.44 : 72,180.72 = 34,393.44 : x
  2. Step 2: Convert to fraction form
    52,321.44/72,180.72 = 34,393.44/x
  3. Step 3: Cross multiply
    52,321.44x = 72,180.72 × 34,393.44
  4. Step 4: Simplify right side
    52,321.44x = 2,482,543,262.48
  5. Step 5: Solve for x
    x = 2,482,543,262.48/52,321.44
  6. Step 6: Final answer
    x = 47,447.92

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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.