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Finding the Fourth Proportional to 31,154.46, 42,993.89 and 17,007.40

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Solution

The fourth proportional to 31,154.46, 42,993.89 and 17,007.40 is: 23,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.46 : 42,993.89 = 17,007.40 : x
  2. Step 2: Convert to fraction form
    31,154.46/42,993.89 = 17,007.40/x
  3. Step 3: Cross multiply
    31,154.46x = 42,993.89 × 17,007.40
  4. Step 4: Simplify right side
    31,154.46x = 731,214,284.79
  5. Step 5: Solve for x
    x = 731,214,284.79/31,154.46
  6. Step 6: Final answer
    x = 23,470.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.