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Finding the Fourth Proportional to 36,211.14, 54,322.20 and 12,832.14

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Solution

The fourth proportional to 36,211.14, 54,322.20 and 12,832.14 is: 19,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,211.14 : 54,322.20 = 12,832.14 : x
  2. Step 2: Convert to fraction form
    36,211.14/54,322.20 = 12,832.14/x
  3. Step 3: Cross multiply
    36,211.14x = 54,322.20 × 12,832.14
  4. Step 4: Simplify right side
    36,211.14x = 697,070,075.51
  5. Step 5: Solve for x
    x = 697,070,075.51/36,211.14
  6. Step 6: Final answer
    x = 19,250.16

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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.