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Finding the Fourth Proportional to 48,857.53, 73,289.13 and 13,794.25

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Solution

The fourth proportional to 48,857.53, 73,289.13 and 13,794.25 is: 20,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,857.53 : 73,289.13 = 13,794.25 : x
  2. Step 2: Convert to fraction form
    48,857.53/73,289.13 = 13,794.25/x
  3. Step 3: Cross multiply
    48,857.53x = 73,289.13 × 13,794.25
  4. Step 4: Simplify right side
    48,857.53x = 1,010,968,581.50
  5. Step 5: Solve for x
    x = 1,010,968,581.50/48,857.53
  6. Step 6: Final answer
    x = 20,692.18

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Why These Related Problems?

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