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Finding the Fourth Proportional to 31,209.29, 46,812.08 and 9,022.17

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Solution

The fourth proportional to 31,209.29, 46,812.08 and 9,022.17 is: 13,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.29 : 46,812.08 = 9,022.17 : x
  2. Step 2: Convert to fraction form
    31,209.29/46,812.08 = 9,022.17/x
  3. Step 3: Cross multiply
    31,209.29x = 46,812.08 × 9,022.17
  4. Step 4: Simplify right side
    31,209.29x = 422,346,498.70
  5. Step 5: Solve for x
    x = 422,346,498.70/31,209.29
  6. Step 6: Final answer
    x = 13,532.72

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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.