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Finding the Fourth Proportional to 31,097.45, 42,914.59 and 17,673.17

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Solution

The fourth proportional to 31,097.45, 42,914.59 and 17,673.17 is: 24,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.45 : 42,914.59 = 17,673.17 : x
  2. Step 2: Convert to fraction form
    31,097.45/42,914.59 = 17,673.17/x
  3. Step 3: Cross multiply
    31,097.45x = 42,914.59 × 17,673.17
  4. Step 4: Simplify right side
    31,097.45x = 758,436,585.79
  5. Step 5: Solve for x
    x = 758,436,585.79/31,097.45
  6. Step 6: Final answer
    x = 24,389.03

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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.