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Finding the Fourth Proportional to 50,289.35, 75,434.01 and 12,849.50

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Solution

The fourth proportional to 50,289.35, 75,434.01 and 12,849.50 is: 19,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,289.35 : 75,434.01 = 12,849.50 : x
  2. Step 2: Convert to fraction form
    50,289.35/75,434.01 = 12,849.50/x
  3. Step 3: Cross multiply
    50,289.35x = 75,434.01 × 12,849.50
  4. Step 4: Simplify right side
    50,289.35x = 969,288,934.32
  5. Step 5: Solve for x
    x = 969,288,934.32/50,289.35
  6. Step 6: Final answer
    x = 19,274.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.