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Finding the Fourth Proportional to 50,564.70, 75,834.90 and 15,019.20

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Solution

The fourth proportional to 50,564.70, 75,834.90 and 15,019.20 is: 22,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.70 : 75,834.90 = 15,019.20 : x
  2. Step 2: Convert to fraction form
    50,564.70/75,834.90 = 15,019.20/x
  3. Step 3: Cross multiply
    50,564.70x = 75,834.90 × 15,019.20
  4. Step 4: Simplify right side
    50,564.70x = 1,138,979,530.08
  5. Step 5: Solve for x
    x = 1,138,979,530.08/50,564.70
  6. Step 6: Final answer
    x = 22,525.19

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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.