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Finding the Fourth Proportional to 52,359.41, 78,546.41 and 16,821.81

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Solution

The fourth proportional to 52,359.41, 78,546.41 and 16,821.81 is: 25,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,359.41 : 78,546.41 = 16,821.81 : x
  2. Step 2: Convert to fraction form
    52,359.41/78,546.41 = 16,821.81/x
  3. Step 3: Cross multiply
    52,359.41x = 78,546.41 × 16,821.81
  4. Step 4: Simplify right side
    52,359.41x = 1,321,292,785.20
  5. Step 5: Solve for x
    x = 1,321,292,785.20/52,359.41
  6. Step 6: Final answer
    x = 25,235.06

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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.