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Finding the Fourth Proportional to 89,820, 123,949.94 and 49,537.50

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Solution

The fourth proportional to 89,820, 123,949.94 and 49,537.50 is: 68,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,820 : 123,949.94 = 49,537.50 : x
  2. Step 2: Convert to fraction form
    89,820/123,949.94 = 49,537.50/x
  3. Step 3: Cross multiply
    89,820x = 123,949.94 × 49,537.50
  4. Step 4: Simplify right side
    89,820x = 6,140,170,152.75
  5. Step 5: Solve for x
    x = 6,140,170,152.75/89,820
  6. Step 6: Final answer
    x = 68,360.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.