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Finding the Fourth Proportional to 89,118, 122,982.84 and 49,374

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Solution

The fourth proportional to 89,118, 122,982.84 and 49,374 is: 68,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,118 : 122,982.84 = 49,374 : x
  2. Step 2: Convert to fraction form
    89,118/122,982.84 = 49,374/x
  3. Step 3: Cross multiply
    89,118x = 122,982.84 × 49,374
  4. Step 4: Simplify right side
    89,118x = 6,072,154,742.16
  5. Step 5: Solve for x
    x = 6,072,154,742.16/89,118
  6. Step 6: Final answer
    x = 68,136.12

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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.