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Finding the Fourth Proportional to 31,097.13, 42,913.71 and 16,949.67

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Solution

The fourth proportional to 31,097.13, 42,913.71 and 16,949.67 is: 23,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.13 : 42,913.71 = 16,949.67 : x
  2. Step 2: Convert to fraction form
    31,097.13/42,913.71 = 16,949.67/x
  3. Step 3: Cross multiply
    31,097.13x = 42,913.71 × 16,949.67
  4. Step 4: Simplify right side
    31,097.13x = 727,373,222.98
  5. Step 5: Solve for x
    x = 727,373,222.98/31,097.13
  6. Step 6: Final answer
    x = 23,390.37

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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.