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Finding the Fourth Proportional to 52,052.56, 78,089.60 and 20,890.24

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Solution

The fourth proportional to 52,052.56, 78,089.60 and 20,890.24 is: 31,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.56 : 78,089.60 = 20,890.24 : x
  2. Step 2: Convert to fraction form
    52,052.56/78,089.60 = 20,890.24/x
  3. Step 3: Cross multiply
    52,052.56x = 78,089.60 × 20,890.24
  4. Step 4: Simplify right side
    52,052.56x = 1,631,310,485.50
  5. Step 5: Solve for x
    x = 1,631,310,485.50/52,052.56
  6. Step 6: Final answer
    x = 31,339.68

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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.