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Finding the Fourth Proportional to 48,913.32, 73,309.50 and 27,871

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Solution

The fourth proportional to 48,913.32, 73,309.50 and 27,871 is: 41,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,913.32 : 73,309.50 = 27,871 : x
  2. Step 2: Convert to fraction form
    48,913.32/73,309.50 = 27,871/x
  3. Step 3: Cross multiply
    48,913.32x = 73,309.50 × 27,871
  4. Step 4: Simplify right side
    48,913.32x = 2,043,209,074.50
  5. Step 5: Solve for x
    x = 2,043,209,074.50/48,913.32
  6. Step 6: Final answer
    x = 41,772.04

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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.