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Finding the Fourth Proportional to 36,102.53, 54,116.87 and 13,907.21

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Solution

The fourth proportional to 36,102.53, 54,116.87 and 13,907.21 is: 20,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,102.53 : 54,116.87 = 13,907.21 : x
  2. Step 2: Convert to fraction form
    36,102.53/54,116.87 = 13,907.21/x
  3. Step 3: Cross multiply
    36,102.53x = 54,116.87 × 13,907.21
  4. Step 4: Simplify right side
    36,102.53x = 752,614,335.51
  5. Step 5: Solve for x
    x = 752,614,335.51/36,102.53
  6. Step 6: Final answer
    x = 20,846.58

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1.5x scale

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.