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Finding the Fourth Proportional to 31,154.82, 42,993.75 and 17,007.63

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Solution

The fourth proportional to 31,154.82, 42,993.75 and 17,007.63 is: 23,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.82 : 42,993.75 = 17,007.63 : x
  2. Step 2: Convert to fraction form
    31,154.82/42,993.75 = 17,007.63/x
  3. Step 3: Cross multiply
    31,154.82x = 42,993.75 × 17,007.63
  4. Step 4: Simplify right side
    31,154.82x = 731,221,792.31
  5. Step 5: Solve for x
    x = 731,221,792.31/31,154.82
  6. Step 6: Final answer
    x = 23,470.58

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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.