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Finding the Fourth Proportional to 50,492.70, 75,655.71 and 30,711.42

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Solution

The fourth proportional to 50,492.70, 75,655.71 and 30,711.42 is: 46,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.70 : 75,655.71 = 30,711.42 : x
  2. Step 2: Convert to fraction form
    50,492.70/75,655.71 = 30,711.42/x
  3. Step 3: Cross multiply
    50,492.70x = 75,655.71 × 30,711.42
  4. Step 4: Simplify right side
    50,492.70x = 2,323,494,285.21
  5. Step 5: Solve for x
    x = 2,323,494,285.21/50,492.70
  6. Step 6: Final answer
    x = 46,016.44

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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.