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Finding the Fourth Proportional to 52,149.06, 78,222.78 and 20,983.50

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Solution

The fourth proportional to 52,149.06, 78,222.78 and 20,983.50 is: 31,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149.06 : 78,222.78 = 20,983.50 : x
  2. Step 2: Convert to fraction form
    52,149.06/78,222.78 = 20,983.50/x
  3. Step 3: Cross multiply
    52,149.06x = 78,222.78 × 20,983.50
  4. Step 4: Simplify right side
    52,149.06x = 1,641,387,704.13
  5. Step 5: Solve for x
    x = 1,641,387,704.13/52,149.06
  6. Step 6: Final answer
    x = 31,474.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.