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Finding the Fourth Proportional to 30,919.86, 46,384.92 and 10,138.50

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Solution

The fourth proportional to 30,919.86, 46,384.92 and 10,138.50 is: 15,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.86 : 46,384.92 = 10,138.50 : x
  2. Step 2: Convert to fraction form
    30,919.86/46,384.92 = 10,138.50/x
  3. Step 3: Cross multiply
    30,919.86x = 46,384.92 × 10,138.50
  4. Step 4: Simplify right side
    30,919.86x = 470,273,511.42
  5. Step 5: Solve for x
    x = 470,273,511.42/30,919.86
  6. Step 6: Final answer
    x = 15,209.43

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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.