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Finding the Fourth Proportional to 135,071.68, 202,592.16 and 36,568

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Solution

The fourth proportional to 135,071.68, 202,592.16 and 36,568 is: 54,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,071.68 : 202,592.16 = 36,568 : x
  2. Step 2: Convert to fraction form
    135,071.68/202,592.16 = 36,568/x
  3. Step 3: Cross multiply
    135,071.68x = 202,592.16 × 36,568
  4. Step 4: Simplify right side
    135,071.68x = 7,408,390,106.88
  5. Step 5: Solve for x
    x = 7,408,390,106.88/135,071.68
  6. Step 6: Final answer
    x = 54,847.84

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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.