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Finding the Fourth Proportional to 52,201.80, 78,216.30 and 44,425.80

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Solution

The fourth proportional to 52,201.80, 78,216.30 and 44,425.80 is: 66,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.80 : 78,216.30 = 44,425.80 : x
  2. Step 2: Convert to fraction form
    52,201.80/78,216.30 = 44,425.80/x
  3. Step 3: Cross multiply
    52,201.80x = 78,216.30 × 44,425.80
  4. Step 4: Simplify right side
    52,201.80x = 3,474,821,700.54
  5. Step 5: Solve for x
    x = 3,474,821,700.54/52,201.80
  6. Step 6: Final answer
    x = 66,565.17

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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.