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Finding the Fourth Proportional to 52,644.44, 78,944.18 and 30,473.12

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Solution

The fourth proportional to 52,644.44, 78,944.18 and 30,473.12 is: 45,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.44 : 78,944.18 = 30,473.12 : x
  2. Step 2: Convert to fraction form
    52,644.44/78,944.18 = 30,473.12/x
  3. Step 3: Cross multiply
    52,644.44x = 78,944.18 × 30,473.12
  4. Step 4: Simplify right side
    52,644.44x = 2,405,675,318.08
  5. Step 5: Solve for x
    x = 2,405,675,318.08/52,644.44
  6. Step 6: Final answer
    x = 45,696.66

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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.