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Finding the Fourth Proportional to 36,419, 54,624.84 and 26,577.50

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Solution

The fourth proportional to 36,419, 54,624.84 and 26,577.50 is: 39,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,419 : 54,624.84 = 26,577.50 : x
  2. Step 2: Convert to fraction form
    36,419/54,624.84 = 26,577.50/x
  3. Step 3: Cross multiply
    36,419x = 54,624.84 × 26,577.50
  4. Step 4: Simplify right side
    36,419x = 1,451,791,685.10
  5. Step 5: Solve for x
    x = 1,451,791,685.10/36,419
  6. Step 6: Final answer
    x = 39,863.58

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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.