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Finding the Fourth Proportional to 89,112.72, 122,949.18 and 50,871

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Solution

The fourth proportional to 89,112.72, 122,949.18 and 50,871 is: 70,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,112.72 : 122,949.18 = 50,871 : x
  2. Step 2: Convert to fraction form
    89,112.72/122,949.18 = 50,871/x
  3. Step 3: Cross multiply
    89,112.72x = 122,949.18 × 50,871
  4. Step 4: Simplify right side
    89,112.72x = 6,254,547,735.78
  5. Step 5: Solve for x
    x = 6,254,547,735.78/89,112.72
  6. Step 6: Final answer
    x = 70,186.92

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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.