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Finding the Fourth Proportional to 50,266.40, 75,410.40 and 15,209.60

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Solution

The fourth proportional to 50,266.40, 75,410.40 and 15,209.60 is: 22,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,266.40 : 75,410.40 = 15,209.60 : x
  2. Step 2: Convert to fraction form
    50,266.40/75,410.40 = 15,209.60/x
  3. Step 3: Cross multiply
    50,266.40x = 75,410.40 × 15,209.60
  4. Step 4: Simplify right side
    50,266.40x = 1,146,962,019.84
  5. Step 5: Solve for x
    x = 1,146,962,019.84/50,266.40
  6. Step 6: Final answer
    x = 22,817.67

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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.