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Finding the Fourth Proportional to 50,189.46, 75,289.95 and 16,898.10

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Solution

The fourth proportional to 50,189.46, 75,289.95 and 16,898.10 is: 25,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,189.46 : 75,289.95 = 16,898.10 : x
  2. Step 2: Convert to fraction form
    50,189.46/75,289.95 = 16,898.10/x
  3. Step 3: Cross multiply
    50,189.46x = 75,289.95 × 16,898.10
  4. Step 4: Simplify right side
    50,189.46x = 1,272,257,104.10
  5. Step 5: Solve for x
    x = 1,272,257,104.10/50,189.46
  6. Step 6: Final answer
    x = 25,349.09

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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.