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Finding the Fourth Proportional to 50,477.94, 75,732.66 and 20,909.70

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Solution

The fourth proportional to 50,477.94, 75,732.66 and 20,909.70 is: 31,371.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,477.94 : 75,732.66 = 20,909.70 : x
  2. Step 2: Convert to fraction form
    50,477.94/75,732.66 = 20,909.70/x
  3. Step 3: Cross multiply
    50,477.94x = 75,732.66 × 20,909.70
  4. Step 4: Simplify right side
    50,477.94x = 1,583,547,200.80
  5. Step 5: Solve for x
    x = 1,583,547,200.80/50,477.94
  6. Step 6: Final answer
    x = 31,371.07

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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.