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Finding the Fourth Proportional to 36,855.77, 55,291.95 and 13,482

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Solution

The fourth proportional to 36,855.77, 55,291.95 and 13,482 is: 20,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,855.77 : 55,291.95 = 13,482 : x
  2. Step 2: Convert to fraction form
    36,855.77/55,291.95 = 13,482/x
  3. Step 3: Cross multiply
    36,855.77x = 55,291.95 × 13,482
  4. Step 4: Simplify right side
    36,855.77x = 745,446,069.90
  5. Step 5: Solve for x
    x = 745,446,069.90/36,855.77
  6. Step 6: Final answer
    x = 20,226.04

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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.