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Finding the Fourth Proportional to 30,767.92, 46,162.62 and 9,711.22

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Solution

The fourth proportional to 30,767.92, 46,162.62 and 9,711.22 is: 14,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.92 : 46,162.62 = 9,711.22 : x
  2. Step 2: Convert to fraction form
    30,767.92/46,162.62 = 9,711.22/x
  3. Step 3: Cross multiply
    30,767.92x = 46,162.62 × 9,711.22
  4. Step 4: Simplify right side
    30,767.92x = 448,295,358.60
  5. Step 5: Solve for x
    x = 448,295,358.60/30,767.92
  6. Step 6: Final answer
    x = 14,570.22

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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.